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Τι (ποιος) είναι quasipure injective - ορισμός

MODULE SUCH THAT INFINITE SYSTEMS OF LINEAR EQUATIONS CAN BE SOLVED BY SOLVING FINITE SUBSYSTEMS

Algebraically compact; Pure injective module; Pure-injective; Pure-injective module

Injective hull

NOTION IN ABSTRACT ALGEBRA

Module of finite rank; Injective envelope

In mathematics, particularly in algebra, the injective hull (or injective envelope) of a module is both the smallest injective module containing it and the largest essential extension of it. Injective hulls were first described in .

https://en.wikipedia.org/wiki/Injective_hull

Injective module

MATHEMATICAL OBJECT IN ABSTRACT ALGEBRA

Injective test lemma; Injective dimension; Baer's criterion; Self-injective ring

In mathematics, especially in the area of 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. Specifically, if Q is a submodule of some other module, then it is already a direct summand of that module; also, given a submodule of a module Y, then any module homomorphism from this submodule to Q can be extended to a homomorphism from all of Y to Q.

https://en.wikipedia.org/wiki/Injective_module

Injective tensor product

User:Mgkrupa/Injective tensor product

In mathematics, the injective tensor product of two topological vector spaces (TVSs) was introduced by Alexander Grothendieck and was used by him to define nuclear spaces. An injective tensor product is in general not necessarily complete, so its completion is called the .

https://en.wikipedia.org/wiki/Injective_tensor_product

Βικιπαίδεια

Algebraically compact module

In mathematics, algebraically compact modules, also called pure-injective modules, are modules that have a certain "nice" property which allows the solution of infinite systems of equations in the module by finitary means. The solutions to these systems allow the extension of certain kinds of module homomorphisms. These algebraically compact modules are analogous to injective modules, where one can extend all module homomorphisms. All injective modules are algebraically compact, and the analogy between the two is made quite precise by a category embedding.

https://en.wikipedia.org/wiki/Algebraically compact module