Finitely-generated module
Finitely-generated module In mathematics, a module is a finitely-generated module if it has a ...
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Talk:Finitely-generated module
Talk:Finitely-generated module A modification of the previous example gives a finitely-generated module: take the rational numbers whose ...
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Module (mathematics)
Module (mathematics) In abstract algebra, the notion of a module over a ring is the common generalization ... such as the distributive law. In a module, the scalars need only be a ring, so the module concept represents a significant generalization. Much of ... of groups. Definition Specifically, a left R-module over the ring R consists of ...
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Injective module
Injective module In mathematics, an injective module is a module Q that shares certain desirable properties with the Z-module Q of all rational numbers. Specifically, if ... Q is a submodule of some other module, then it is already a direct ...
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Indecomposable module
Indecomposable module In abstract algebra, a module is defined to be indecomposable if it ... p and some positive integer n. Every finitely-generated abelian group is a direct sum of (finitely many) indecomposable abelian groups. There are, ...
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Projective module
Projective module In mathematics, particularly in abstract algebra and homological algebra, the concept of projective module over a ring R is a more ... generalisation of the idea of a free module (that is, a module with basis vectors). Various equivalent characterizations of ... as a direct summand of a free module. That is, a module P is ...
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Inyectivo module   (translated from Spanish)
Inyectivo module In mathematics , inyectivo module it is module Q that it shares certain desirable properties with Z- module Q of all rational numbers. Specifically, if ... Q it is submodule of some other module, then it is adding direct of ...
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Cyclic module
Cyclic module In mathematics, more specifically in ring theory, a cyclic module or monogenous module is a module which is generated by one element. Definition A R- ...
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Module (mathematical)   (translated from Spanish)
Module (mathematical) The term module also it is used like synonymous of ... absolute . Table of contents Definition Specifically, left module on unitary ring R (in ahead R ... x Generally, we wrote "a R simply - module left M"or R M. Some authors ... all the ring) estimate unitales. R right module M or M R it is ...
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Flat module
Flat module In abstract algebra, a flat module over a ring R is an R-module M such that taking the tensor product ... can say that flatness for an R-module M is equivalent to tensor product with ... that (if M is a left R-module) the tensor product with M maps ...
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