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Longer titles found: Torsion-free module (view), Stably free module (view)

searching for Free module 28 found (169 total)

Functional (mathematics) (1,447 words) [view diff] exact match in snippet view article

applications Lang 2002, p. 142 "Let E be a free module over a commutative ring A. We view A as a free module of rank 1 over itself. By the dual module

Berezinian (802 words) [view diff] exact match in snippet view article find links to article

{Ber} (X)\mathrm {Ber} (Y)} The determinant of an endomorphism of a free module M can be defined as the induced action on the 1-dimensional highest exterior

List of things named after Charles Hermite (405 words) [view diff] exact match in snippet view article find links to article

covariants of binary forms Hermite ring, a ring over which every stably free module is free of unique rank Hermite-Sobolev spaces Hermite's cotangent identity

Étale cohomology (5,016 words) [view diff] exact match in snippet view article find links to article

is a free module of rank 2 over the integers, while the first ℓ-adic cohomology group of an elliptic curve over a finite field is a free module of rank

Category of modules (481 words) [view diff] exact match in snippet view article find links to article

in nLab". ncatlab.org. trivially since any module is a quotient of a free module. Dummit & Foote, Ch. 10, Theorem 38. Bourbaki, § 6. Bourbaki. "Algèbre

Tensor contraction (1,888 words) [view diff] exact match in snippet view article find links to article

tensors with each other. Let R be a commutative ring and let M be a finite free module over R. Then contraction operates on the full (mixed) tensor algebra

Glossary of ring theory (4,255 words) [view diff] exact match in snippet view article find links to article

right ideal is a free module of fixed rank. 2. A semifir is a ring in which every finitely generated right ideal is a free module of fixed rank. 3. The

Koszul complex (5,545 words) [view diff] exact match in snippet view article find links to article

between these relations, and so forth. Let R be a commutative ring and E a free module of finite rank r over R. We write ⋀ i E {\displaystyle \bigwedge ^{i}E}

Lie superalgebra (2,397 words) [view diff] exact match in snippet view article find links to article

automatically). When the ground ring is the integers or the Lie superalgebra is a free module, these conditions are equivalent to the condition that the Poincaré–Birkhoff–Witt

Cohomological invariant (694 words) [view diff] exact match in snippet view article find links to article

over it. The cohomological invariants with coefficients in Z/2Z is a free module over the cohomology of k with a basis of elements of degrees 0, 1, 2

F-crystal (864 words) [view diff] exact match in snippet view article find links to article

with Frobenius automorphism σ. Over the field k, an F-crystal is a free module M of finite rank over the ring W of Witt vectors of k, together with

Willis Tower (11,394 words) [view diff] exact match in snippet view article find links to article

intended to accommodate 16,500 employees. Each of the "tubes" is a column-free module measuring 75 by 75 feet (23 by 23 m), which set back at different stories

JSON streaming (1,490 words) [view diff] exact match in snippet view article find links to article

json_lines codec. ldjson-stream module for Node.js ld-jsonstream dependency free module for Node.js json-stream-es is a JavaScript/TypeScript library (frontend

Dedekind domain (3,744 words) [view diff] exact match in snippet view article find links to article

{\displaystyle n} . In particular, P {\displaystyle P} is a finitely generated free module. Now let M {\displaystyle M} be a finitely generated module over an arbitrary

Alternating polynomial (1,171 words) [view diff] exact match in snippet view article find links to article

part of a superalgebra is a module over the even part); in fact it is a free module of rank 1, with the Vandermonde polynomial in n variables as generator

Mnemonic major system (2,926 words) [view diff] exact match in snippet view article find links to article

words using Derren Brown's encoding. Mnemonic Major System Module A free module for the drupal content management system by rolf vreijdenberger - web

Tensor product of modules (8,471 words) [view diff] exact match in snippet view article find links to article

{\displaystyle R^{n}\otimes _{R}S=S^{n}} ⁠, for any R-algebra S (i.e., a free module remains free after extending scalars.) For a commutative ring R {\displaystyle

Eilenberg–Ganea theorem (870 words) [view diff] exact match in snippet view article find links to article

theorem is an consequence of cellular homology, and the fact that every free module is projective. Theorem: Let X be an aspherical n-dimensional CW complex

HTTP Live Streaming (2,804 words) [view diff] exact match in snippet view article find links to article

Latency HLS spec is supported. 1.0.0-x WMSPanel No Nginx-rtmp-module Free module for nginx server with support of HLS live streaming. Compliant with iOS

Morphism of algebraic varieties (4,397 words) [view diff] exact match in snippet view article find links to article

is free as OY|U-module. The degree of f is then also the rank of this free module. If f is étale and if X, Y are complete, then for any coherent sheaf

Relative homology (2,477 words) [view diff] exact match in snippet view article find links to article

{\displaystyle i=0} , H 0 ( X , x 0 ) {\displaystyle H_{0}(X,x_{0})} is the free module of one rank less than H 0 ( X ) {\displaystyle H_{0}(X)} . The connected

HP-41C (4,602 words) [view diff] exact match in snippet view article find links to article

(with a 2.5mm stereo jack physical interface) is available, if one has a free module slot. Unusually for pocket calculators, the devices still have a fan

Noether normalization lemma (2,822 words) [view diff] exact match in snippet view article find links to article

{\displaystyle g=g_{0}\cdots g_{r}} , B [ g − 1 ] {\displaystyle B[g^{-1}]} is a free module over A [ g − 1 ] {\displaystyle A[g^{-1}]} . ◻ {\displaystyle \square

Grassmannian (8,402 words) [view diff] exact match in snippet view article find links to article

O_{T}} -modules from E T {\displaystyle {\mathcal {E}}_{T}} to a locally free module of rank k {\displaystyle k} . Therefore, the elements of G r ( k , E

Weyl's theorem on complete reducibility (2,465 words) [view diff] exact match in snippet view article find links to article

over a semisimple ring is semisimple since a module is a quotient of a free module and "semisimple" is preserved under the free and quotient constructions

Dimension theory (algebra) (6,961 words) [view diff] exact match in snippet view article

free and K {\displaystyle K} is the kernel of some surjection from a free module to M. Lemma—Let R 1 = R / f R {\displaystyle R_{1}=R/fR} , f a non-zerodivisor

Descendant tree (group theory) (8,133 words) [view diff] exact match in snippet view article

normal subgroup T {\displaystyle T} , the translation group, which is a free module over the ring Z p {\displaystyle \mathbb {Z} _{p}} of p-adic integers

Heterojunction solar cell (13,981 words) [view diff] exact match in snippet view article find links to article

LCOE by nearly 3% as a result of improved module longevity. Encapsulant-free module designs have also been developed with potential for reduced long term