T-Rickart modules

• Autorzy: S. Ebrahimi Atani , M. Khoramdel , S. Dolati Pish Hesari
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 128
• Numer: 1
• Strony: 87-100

Daty

wydano

2012

Twórcy

autor

S. Ebrahimi Atani

• Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran

autor

M. Khoramdel

• Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran

autor

S. Dolati Pish Hesari

• Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran

Identyfikatory

DOI

10.4064/cm128-1-8