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

searching for Free module 35 found (162 total)

Functional (mathematics) (1,444 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 (767 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

Cotriple homology (318 words) [view diff] exact match in snippet view article find links to article

adjoint of the forgetful functor from the category of rings to Set; i.e., free module functor. Then FU{\displaystyle FU} defines a cotriple and the n-th cotriple

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

Homology (mathematics) (6,435 words) [view diff] exact match in snippet view article

a free module F 1 {\displaystyle F_{1}} and a surjective homomorphism p 1 : F 1 → X . {\displaystyle p_{1}:F_{1}\to X.} Then one finds a free module F

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 (489 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

Character module (915 words) [view diff] exact match in snippet view article find links to article

every right R{\displaystyle R}-module N{\displaystyle N} there is a free module M{\displaystyle M} such that N{\displaystyle N} is isomorphic to a submodule

Tensor contraction (1,882 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

Koszul complex (5,388 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}

Associated prime (979 words) [view diff] exact match in snippet view article find links to article

The group of order 2 is a quotient of the integers Z (considered as a free module over itself), but its associated prime ideal (2) is not an associated

Glossary of ring theory (4,250 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

Lie superalgebra (2,126 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

JSON streaming (1,396 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 ArduinoJson is a C++ library that supports line-delimited

Willis Tower (11,391 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

Dedekind domain (3,749 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

Mnemonic major system (2,899 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

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

Tensor product of modules (8,467 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

HTTP Live Streaming (2,715 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 (4,318 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 (2,455 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

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

HP-41C (4,591 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 (2,606 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 (8,384 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 (2,447 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

Dieudonné module (1,545 words) [view diff] exact match in snippet view article find links to article

degree n ∈ Z {\displaystyle {n\in \mathbb {Z} }} is a 1-dimensional free module over W ( k ) {\displaystyle W(k)} , spanned by V − n {\displaystyle V^{-n}}

Persistence module (2,966 words) [view diff] exact match in snippet view article find links to article

Q^{a}} is known as a free (persistence) module. One can also define a free module in terms of decomposition into interval modules. For each a ∈ P {\displaystyle

Kodaira–Spencer map (3,877 words) [view diff] exact match in snippet view article find links to article

^{n}/{\text{Spec}}(k)}\cong \Omega _{\mathbb {A} ^{n}/{\text{Spec}}(k)}^{1}} is a free module, RHom ( i ∗ L A n / Spec ( k ) , O X 0 [ + 1 ] ) = 0 {\displaystyle {\textbf

Dimension theory (algebra) (6,957 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) (7,802 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 Zp{\displaystyle \mathbb {Z} _{p}} of p-adic integers of

Heterojunction solar cell (13,929 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