Abelian groups flat as modules over their endomorphism ring

Albrecht, Ulrich; Faticoni, Theodore G.

doi:10.1080/00927879308824739

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Tensor-products Of Finitely Presented Modules1

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Cited by 5 publications

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“…Since M is projective, we can find a splitting map δ : M → E(A) n for β. Since M is finitely presented, it is projective with respect to the sequence 0 → tE(A) n → E(A) n → E(A) n → 0 by [5], and we can find a map γ : M → E(A) n with π 2 γ = δπ 3 . We have that π 3 βγ =…”

Section: Tensor-products Of Finitely Presented Modulesmentioning

confidence: 99%

Homomorphisms between A-Projective Abelian Groups and Left Kasch-Rings

Albrecht

Jeong

1998

Czechoslovak Mathematical Journal

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Section: Tensor-products Of Finitely Presented Modulesmentioning

confidence: 99%

Homomorphisms between A-Projective Abelian Groups and Left Kasch-Rings

Albrecht

Jeong

1998

Czechoslovak Mathematical Journal

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Endomorphism Rings of Abelian Groups

Крылов

Mikhalëv

Tuganbaev

2003

Algebras and Applications

108

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The quasi-Baer-splitting property for mixed abelian groups

Breaz

2004

Journal of Pure and Applied Algebra

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The quasi-Baer-splitting property is extended from self-small torsion free groups to arbitrary self-small abelian groups. The self-small group A has this property i it is almost-faithful as an E-module. This fact is re ected in the structure of A=t(A) as a module over the Walkendomorphism ring of A. A self-small group A is almost E-at and has the quasi-Baer-splitting property i the class of almost A-adstatic modules is closed with respect to submodules and i A is "almost-projective" with respect to the class of almost A-static groups.

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Abelian groups flat as modules over their endomorphism ring

Cited by 5 publications

References 11 publications

Homomorphisms between A-Projective Abelian Groups and Left Kasch-Rings

Homomorphisms between A-Projective Abelian Groups and Left Kasch-Rings

Endomorphism Rings of Abelian Groups

The quasi-Baer-splitting property for mixed abelian groups

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