T-Rickart modules
S. Ebrahimi Atani ; M. Khoramdel ; S. Dolati Pish Hesari
Colloquium Mathematicae, Tome 126 (2012), p. 87-100 / Harvested from The Polish Digital Mathematics Library
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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(RR)⊕R', where R’ is a hereditary right R-module. Examples illustrating the results are presented.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:283848 
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     year = {2012},
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S. Ebrahimi Atani; M. Khoramdel; S. Dolati Pish Hesari. T-Rickart modules. Colloquium Mathematicae, Tome 126 (2012) pp. 87-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-8/