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Indecomposable primarily comultiplication modules over a pullback of two Dedekind domains

100%

Ebrahimi Atani S., Esmaeili Khalil Saraei F.

Colloquium Mathematicum

2010

tom 120

nr 1

23-42

We describe all those indecomposable primarily comultiplication modules with finite-dimensional top over pullback of two Dedekind domains. We extend the definition and results given by R. Ebrahimi Atani and S. Ebrahimi Atani [Algebra Discrete Math. 2009] to a more general primarily comultiplication modules case.

T-Rickart modules

81%

Ebrahimi Atani S., Khoramdel M., Dolati Pish Hesari S.

Colloquium Mathematicum

2012

tom 128

nr 1

87-100

We introduce the notions of T-Rickart and strongly T-Rickart modules. We provide several characterizations and investigate properties of each of these concepts. It is shown that R is right Σ-t-extending if and only if every R-module is T-Rickart. Also, every free R-module is T-Rickart if and only if $R = Z₂(R_{R})⊕ R'$, where R' is a hereditary right R-module. Examples illustrating the results are presented.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Ebrahimi Atani S.

1 Dolati Pish Hesari S.

1 Esmaeili Khalil Saraei F.

1 Khoramdel M.

1 2012

1 2010

Wyniki wyszukiwania

Indecomposable primarily comultiplication modules over a pullback of two Dedekind domains

T-Rickart modules