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1 конечно порожденное кольцо
Русско-английский научно-технический словарь Масловского > конечно порожденное кольцо
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2 конечно порождённое кольцо
Mathematics: finitely generated ringУниверсальный русско-английский словарь > конечно порождённое кольцо
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Finitely-generated module — In mathematics, a finitely generated module is a module that has a finite generating set. A finitely generated R module also may be called a finite R module or finite over R.[1] Related concepts include finitely cogenerated modules, finitely… … Wikipedia
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Finitely generated algebra — In mathematics, a finitely generated algebra is an associative algebra A over a field K such that every element of A can be expressed as a polynomial in a finite set of elements a 1, hellip;, a n of A , with coefficients in K . If it is necessary … Wikipedia
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Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… … Wikipedia
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Noetherian ring — In mathematics, more specifically in the area of modern algebra known as ring theory, a Noetherian ring, named after Emmy Noether, is a ring in which every non empty set of ideals has a maximal element. Equivalently, a ring is Noetherian if it… … Wikipedia
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Von Neumann regular ring — In mathematics, a ring R is von Neumann regular if for every a in R there exists an x in R with : a = axa .One may think of x as a weak inverse of a ; note however that in general x is not uniquely determined by a .(The regular local rings of… … Wikipedia
Nagata ring — In commutative algebra, an integral domain A is called an N 1 ring if its integral closure in its quotient field is a finitely generated A module. It is called a Japanese ring (or an N 2 ring) if for every finite extension L of its quotient field … Wikipedia
Coherent ring — In mathematics, a (left) coherent ring is a ring in which every finitely generated left ideal is finitely presented. Many theorems about finitely generated modules over Noetherian rings can be extended to finitely presented modules over coherent… … Wikipedia