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Displaying similar documents to “On the definition of a compactoid”

Generalized lifting modules.

Wang, Yongduo, Ding, Nanqing (2006)

International Journal of Mathematics and Mathematical Sciences

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Some characterizations of regular modules.

Goro Azumaya (1990)

Publicacions Matemàtiques

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Let M be a left module over a ring R. M is called a Zelmanowitz-regular module if for each x ∈ M there exists a homomorphism F: M → R such that f(x) = x. Let Q be a left R-module and h: Q → M a homomorphism. We call h locally split if for every x ∈ M there exists a homomorphism g: M → Q such that h(g(x)) = x. M is called locally projective if every epimorphism onto M is locally split. We prove that the following conditions are equivalent: (1) M is Zelmanowitz-regular. ...

The dual notion of prime submodules

Siamak Yassemi (2001)

Archivum Mathematicum

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In this paper the concept of the second submodule (the dual notion of prime submodule) is introduced.