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A dualizing module need not be unique because the tensor product of any dualizing module with a rank 1 projective module is also a dualizing module. However...

mathematics, the dual module of a left (respectively right) module M over a ring R is the set of left (respectively right) R-module homomorphisms from...

if R is an Artinian local ring then the Matlis module is the same as the dualizing module. Matlis duality can be conceptually explained using the language...

A DIMM, or Dual In-Line Memory Module, is a popular type of memory module used in computers. It is a printed circuit board with one or both sides (front...

uses the dualizing sheaf on the ambient Pn to construct the dualizing sheaf on X. coherent duality reflexive sheaf Gorenstein ring Dualizing module Hartshorne...

HomΛ(M,Λ). The dual D(M) of a left Λ-module M is the right Λ-module D(M) = HomR(M,J), where J is the dualizing module of R, equal to the sum of the injective...

(category theory) Dual code Duality (electrical engineering) Duality (optimization) Dualizing module Dualizing sheaf Dual lattice Dual norm Dual numbers, a certain...

of modules is a construction that allows arguments about bilinear maps (e.g. multiplication) to be carried out in terms of linear maps. The module construction...

In mathematics, a D-module is a module over a ring D of differential operators. The major interest of such D-modules is as an approach to the theory of...

dual module of a module M over a commutative ring R is the module Hom R ⁡ ( M , R ) {\displaystyle \operatorname {Hom} _{R}(M,R)} . dualizing dualizing module...

Memory Module SIMM, a single in-line memory module DIMM, dual in-line memory module Rambus memory modules are a subset of DIMMs, but are normally referred...

In abstract algebra, a module is called a uniform module if the intersection of any two nonzero submodules is nonzero. This is equivalent to saying that...

algebra, a module homomorphism is a function between modules that preserves the module structures. Explicitly, if M and N are left modules over a ring...

mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a ring. The concept of module also generalizes...

abstract algebra known as module theory, an injective module is a module Q that shares certain desirable properties with the Z-module Q of all rational numbers...

5.  A dualizing complex is a complex generalizing many of the properties of a dualizing module to rings that do not have a dualizing module. DVR Abbreviation...

used in Wiles's proof of Fermat's Last Theorem): Duality (mathematics), Eben Matlis; Dualizing module, Popescu's theorem, Artin approximation theorem....

combines several modules into a new, larger module. The direct sum of modules is the smallest module which contains the given modules as submodules with...

corepresentation is a concept dual to a module. The definition of a comodule over a coalgebra is formed by dualizing the definition of a module over an associative...