But his brief stay ended in such acrimony that Henderson was the only player for the 2000 N.L. champions who was not given a ring by the team; he was cut that May and got $1.8 million in termination pay.
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The narrator of the Old English poem Widsith reports that he was given a ring by Guðhere when he visited the Burgundians (Burgendas).
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When the algebra is semisimple, the representation ring is just the character ring from character theory, which is more or less the Grothendieck group given a ring structure.
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Given a ring R and the (additive) monoid of natural numbers N (or {xn} viewed multiplicatively), we obtain the ring R[{xn}] =: R[x] of polynomials over R. The monoid Nn (with the addition) gives the polynomial ring with n variables: R[Nn] =: R[X1, ..., Xn].
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A bishop is given a ring at his consecration by his consecrator. He is also free to subsequently obtain and wear his own episcopal rings. The style of the episcopal ring has almost always been very large, gold, stone-set ring. Roman Catholic bishops traditionally have their episcopal ring set with an amethyst.
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Given a ring R and an R-module M, an ascending filtration of M is an increasing sequence of submodules M_n. In particular, if R is a field, then an ascending filtration of the R-vector space M is an increasing sequence of vector subspaces of M. Flags are one important class of such filtrations.
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Devotion to Catherine remains strong amongst Eastern Catholics and Eastern Orthodox Christians. With the relative ease of travel in the modern age, pilgrimages to Saint Catherine's Monastery on Mount Sinai have increased. Pilgrims to the monastery are given a ring that has been placed on the relics of the saint as an evlogia (blessing) in remembrance of their visit.
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This tower, however, is in Babylon, and Blancheflour has been purchased by the very real Emir of Babylon to add to his harem. Before leaving in search of Blancheflour, Floris is given a ring by his mother, a ring that makes him invulnerable to death.Kooper, Erik, 2006. Sentimental and Humorous Romances, Kalamazoo, Michigan: Medieval Institute Publications, 2006.
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Given a ring R and an R-module M, a descending filtration of M is a decreasing sequence of submodules M_n. This is therefore a special case of the notion for groups, with the additional condition that the subgroups be submodules. The associated topology is defined as for groups. An important special case is known as the I-adic topology (or J-adic, etc.).
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In mathematics, given a ring R, the K-theory spectrum of R is an Ω-spectrum K_R whose nth term is given by, writing \Sigma R for the suspension of R, :(K_R)_n = K_0(\Sigma^n R) \times BGL(\Sigma^n R)^+, where "+" means the Quillen's + construction.Dominique Arlettaz, Algebraic K-theory of rings from a topological view point By definition, K_i(R) = \pi_i(K_R).
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In mathematics, a categorical ring is, roughly, a category equipped with addition and multiplication. In other words, a categorical ring is obtained by replacing the underlying set of a ring by a category. For example, given a ring R, let C be a category whose objects are the elements of the set R and whose morphisms are only the identity morphisms. Then C is a categorical ring.
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As a landscape gardener, he was recognised by the Royal Horticultural Society and awarded the Victoria Medal of Honour in 1901. He was awarded the Linnean Medal in 1901. For his work on making quinine and distributing it inexpensively he was made an honorary member of the Pharmaceutical Society and given a ring of honour by Czar Alexander III. On 1 January 1890 he was invested as a Companion of the Order of the Indian Empire.
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The 26 wins were at the time a school-record, and Boyle was named Atlantic 10 coach of the year. He was given a ring for the season, which was lost until it was returned to his family in 2017. Boyle announced his resignation from the Hawks on December 22, 1989, effective at the end of the season, and finished with a record of 151–114. In September 1990, Boyle was hired as an assistant coach for the Denver Nuggets of the NBA.
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It is said that a water horse, or each-uisge, inhabits Loch Earn, having been chased, in some variants of the legend, out of Loch Tay and across the hills by Fingal. This creature would entice people to ride on its back, but the rider's hands would stick to the creature's neck, and the unfortunate soul would be dragged under water by the Each Uisge to drown. The unpredictable currents in Loch Earn may have given a ring of truth to this legend.
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Eight colors illustrate the projective line over Galois field GF(7) In mathematics, the projective line over a ring is an extension of the concept of projective line over a field. Given a ring A with 1, the projective line P(A) over A consists of points identified by projective coordinates. Let U be the group of units of A; pairs (a, b) and (c, d) from are related when there is a u in U such that and . This relation is an equivalence relation.
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Neneng (Pinky Montilla) together with blind elder sister (Mildred Ortega) and kid brother live in a coastal town frequented by pirates. After invasion of pirates one night which got townfolks' belongings, Neneng was given a ring by a fairy (Barbara Perez). The ring afforded her to transform to Supergirl which enabled her to fly and have superpowers. Meanwhile, a mad scientist (Odette Khan) and her daughter (Djohanna Garcia) settled in the same town with the prospect of bringing back to life dead people including Cesar (Walter Navarro), her daughter's boyfriend.
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Given a ring R and a right R-module M and its dual module M∗, a mapping is called a bilinear form if :B(u + v, x) = B(u, x) + B(v, x) :B(u, x + y) = B(u, x) + B(u, y) :B(αu, xβ) = αB(u, x)β for all , all and all . The mapping is known as the natural pairing, also called the canonical bilinear form on . A linear map induces the bilinear form , and a linear map induces the bilinear form . Conversely, a bilinear form induces the R-linear maps and .
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She is given a ring by the king, which will eventually have to be presented to him when she appears in his court to claim her place as queen. One day, the anger-prone sage Durvasa arrives when Shakuntala is lost in her thoughts, and when she fails to attend to him, he curses her by bewitching Dushyanta into forgetting her existence. The only cure is for Shakuntala to show the king the signet ring that he gave her. She later travels to meet him, and has to cross a river.
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Perdón, viejita (which means "Sorry, Old Woman" in English) revolves around a lower-class family: Doña Camila, the aging mother, and Elena and Carlos, her children. Carlos is, unbeknownst to her, a reformed thief. One day he meets Nora, a prostitute, in the park, and decides to bring her home after falling in love with her. Elena, who is being courted by a shady Don Juan, is given a ring as a gift, but Nora takes it away from her complaining that she knows men like Don Juan and the ring is probably stolen.
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In abstract algebra, a decomposition of a module is a way to write a module as a direct sum of modules. A type of a decomposition is often used to define or characterize modules: for example, a semisimple module is a module that has a decomposition into simple modules. Given a ring, the types of decomposition of modules over the ring can also be used to define or characterize the ring: a ring is semisimple if and only if every module over it is a semisimple module. An indecomposable module is a module that is not a direct sum of two nonzero submodules.
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Focusing on a single object A in a preadditive category, these facts say that the endomorphism hom-set Hom(A,A) is a ring, if we define multiplication in the ring to be composition. This ring is the endomorphism ring of A. Conversely, every ring (with identity) is the endomorphism ring of some object in some preadditive category. Indeed, given a ring R, we can define a preadditive category R to have a single object A, let Hom(A,A) be R, and let composition be ring multiplication. Since R is an abelian group and multiplication in a ring is bilinear (distributive), this makes R a preadditive category.
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Green Lantern is a 2011 American superhero film based on the DC Comics character of the same name. The film stars Ryan Reynolds, Blake Lively, Peter Sarsgaard, Mark Strong, Angela Bassett and Tim Robbins, with Martin Campbell directing a script by Greg Berlanti and comic book writers Michael Green and Marc Guggenheim, which was subsequently rewritten by Geoff Johns and Michael Goldenberg. The film tells the story of Hal Jordan, a test pilot who is selected to become the first human member of the Green Lantern Corps. Hal is given a ring that grants him superpowers, and must confront Parallax, who threatens to upset the balance of power in the universe.
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There is a more general construction of the dual numbers with more general infinitesimal coefficients. Given a ring R and a module I, there is a ring R[I] called the ring of dual numbers which has the following structures: # It has the underlying R-module R\oplus I # The algebra structure is given by ring multiplication (r,i)\cdot (r',i') = (rr', ri' + r'i) for r,r' \in R and i,i' \in I This generalized the previous construction where I=R gives the ring R[R] which has the same multiplication structure as R[\varepsilon] since any element f + \varepsilon g is just a sum of two elements in R, but the second is indexed in a different position.
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Similar rings feature in the 14th century medieval romance Sir Eglamour of Artois and the 12th century Floris and Blancheflour, and in Thomas Malory's Tale of Sir Gareth of Orkney, in his 15th century epic Le Morte d'Arthur, in which Gareth is given a ring by a damsel who lives in Avalon that will render him invulnerable to losing any blood at a tournament. In the medieval collection of Welsh tales called the Mabinogion, one of the romances – Geraint ab Erbin – has the eponymous character find a ring that grants him the powers of invisibility when worn. The Scottish ballads Hind Horn and Bonny Bee Hom both include a magic ring that turns pale when the person who received it has lost the person who gave it.
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I. (Strophes 1–69) In his castle at Garda, King Ortnit of Lambarten (Lombardy) tells his vassals that he means to seek a wife, and one of them, his uncle Ilyas, King of Russia, mentions the beautiful daughter of Machorel of Muntabur (Mount Tabor), a heathen king. In spite of the fact that Machorel kills any suitor for his daughter, intending to marry her himself once his wife is dead, Ortnit sets his heart on her. II. (70–212) Delayed from setting out by winter weather, he is given a ring by his mother, who tells him it will lead to adventure. Following her instructions, he rides off into the wilderness until he encounters what he takes to be a child, who can only be seen by the one wearing the ring.
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Given R and G, there is a ring homomorphism sending each r to r1 (where 1 is the identity element of G), and a monoid homomorphism (where the latter is viewed as a monoid under multiplication) sending each g to 1g (where 1 is the multiplicative identity of R). We have that α(r) commutes with β(g) for all r in R and g in G. The universal property of the monoid ring states that given a ring S, a ring homomorphism , and a monoid homomorphism to the multiplicative monoid of S, such that α'(r) commutes with β'(g) for all r in R and g in G, there is a unique ring homomorphism such that composing α and β with γ produces α' and β '.
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These imperial robes consist of a number of tunics and cloaks of scarlet cloth, heavily embroidered in gold, and including an elbow-length cape with a deeply scalloped edge fringed in gold (the scallops on either side of the opening on the front being particularly long, giving them the appearance of a western priest's stole), and two large squares of scarlet cloth similarly heavily embroidered and fringed in gold attached to each shoulder. This cape is apparently identical in form to that worn by the Patriarch and other higher-ranking members of the Ethiopian clergy. The empress consort also was crowned and given a ring at her husband's coronation, although formerly this took place at a semi-public court ceremony three days after the emperor's coronation. Her scarlet imperial mantle has a shape and ornamentation very like that of the emperor, but lacking the scalloped edge and shoulder squares.
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Each game is divided into six rounds, with a different focus for each round: # Trivia questions about events in the 21st century # Trivia questions about events in the current year (2004) # Trivia questions about events in the 30 days before taping # Trivia questions about a specialized subject, for which the contestants had been given study materials ahead of time # Reciting items in order from an extensive list # Trivia questions about events in the seven days before taping In rounds 1, 2 and 3, each contestant is called (in a predetermined random order) to a central microphone, where they are asked a question. At the start of the game, each player is given a ring to wear around their neck. If a contestant wished to receive help, he or she would sacrifice the ring into "The Pool of the 7" [a circular pool of water with a white "7" marked in the middle, located on the floor in front of the contestants' pods] and asked for assistance from any other contestant left in the game, including those that are on the block in rounds 1-3. This is where the time the contestants spent together before the game comes into play.
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