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- condition is stably finite. A trivial ring is stably finite but doesn't have IBN. Cohn, P. M. (December 6, 2012). "Basic Algebra: Groups, Rings and Fields"...1 KB (148 words) - 11:18, 30 October 2023
- is not true for every ring R though. A ring R whose matrix rings all have the mentioned property is known as a stably finite ring (Lam 1999, p. 5). In...13 KB (1,812 words) - 23:17, 26 March 2024
- mathematics, a stably free module is a module which is close to being free. A module M over a ring R is stably free if there exists a free finitely generated...976 bytes (115 words) - 11:11, 18 June 2024
- Invariant basis number (redirect from Invariant basis number ring)division ring (compare field of fractions in the commutative case). See also the Ore condition. Every nontrivial division ring or stably finite ring has invariant...7 KB (1,027 words) - 19:30, 3 August 2024
- Glossary of algebraic geometry (redirect from Locally of finite presentation)means of valuation rings. locally factorial The local rings are unique factorization domains. locally of finite presentation Cf. finite presentation above...82 KB (12,488 words) - 04:04, 4 August 2024
- model takes into account the finite mass of the Adams ring, which is necessary to move the resonance closer to the ring. A byproduct of this hypothesis...34 KB (3,763 words) - 12:55, 25 August 2024
- Equivalently, a ring is left-Noetherian (respectively right-Noetherian) if every left ideal (respectively right-ideal) is finitely generated. A ring is Noetherian...20 KB (2,773 words) - 10:09, 18 February 2024
- and the drain. Thus, the output of every inverter in a ring oscillator changes within a finite amount of time after the input has changed. From here,...10 KB (1,282 words) - 23:23, 10 May 2024
- {\widetilde {K}})\cong H_{n}(A_{*})} will be finitely generated if and only if these modules are stably-free. Stably-free modules vanish in reduced K-theory...4 KB (527 words) - 21:55, 19 January 2021
- Linear relation (section Stable properties)§ Stable properties, below. If the ring R is Noetherian, or, at least coherent, and if M is finitely generated, then the syzygy module is also finitely...13 KB (2,345 words) - 08:29, 8 July 2024
- theory, a stable group is a group that is stable in the sense of stability theory. An important class of examples is provided by groups of finite Morley...7 KB (751 words) - 12:11, 20 November 2023
- Segal's conjecture (redirect from Segal's Burnside ring conjecture)branch of mathematics. The theorem relates the Burnside ring of a finite group G to the stable cohomotopy of the classifying space BG. The conjecture was...5 KB (759 words) - 07:39, 7 June 2024
- Finite-difference time-domain (FDTD) or Yee's method (named after the Chinese American applied mathematician Kane S. Yee, born 1934) is a numerical analysis...63 KB (5,629 words) - 20:34, 27 June 2024
- Glossary of commutative algebra (redirect from Glossary of commutative ring theory)ring S (often a field) is a ring (or sometimes an integral domain) that is finitely generated over S. algebraic-geometrical local ring A local ring that...66 KB (9,767 words) - 00:23, 7 July 2024
- series can be used instead of finite sums. For example, the matrices whose column sums are convergent sequences form a ring. Analogously, the matrices whose...106 KB (13,096 words) - 01:43, 20 August 2024
- Witt group (redirect from Witt ring (forms))Witt ring of C, and indeed any algebraically closed field or quadratically closed field, is Z/2Z. The Witt ring of R is Z. The Witt ring of a finite field...21 KB (3,169 words) - 09:30, 25 April 2024
- Birkhoff's representation theorem (redirect from Finite distributive lattice)distributive lattices states that the elements of any finite distributive lattice can be represented as finite sets, in such a way that the lattice operations...21 KB (2,977 words) - 20:12, 17 July 2024
- Differential algebra (redirect from Differential ring)in which differential rings, differential fields, and differential algebras are rings, fields, and algebras equipped with finitely many derivations. A natural...61 KB (7,870 words) - 01:54, 22 August 2024
- prime ideals in the polynomial ring k [ X 1 , … , X n ] {\displaystyle k[X_{1},\dots ,X_{n}]} . Since such ideals are finitely generated, there are only |...30 KB (3,633 words) - 20:03, 4 October 2023
- to Lam (1978) (§I.4, p. 26), a ring is right Hermite if any finitely generated stably free right module over the ring is free. This is equivalent to requiring...4 KB (492 words) - 02:53, 13 May 2024
- break up into finite vortex rings, for if the rotation be distributed over a finite quantity of fluid in the core of such vortex rings, the theorem of
- the mark! Rather I prize the doubt Low kinds exist without, Finished and finite clods, untroubled by a spark. Poor vaunt of life indeed, Were man but formed
- vaulation ring questions at the end see Samula and Zariski's Commutative Algebra II. Let f : X → Y {\displaystyle f:X\to Y} be the finite morphism. Finite implies