Geodesic
T-Rickart modules
S. Ebrahimi Atani1 ; M. Khoramdel1 ; S. Dolati Pish Hesari1
1 Faculty of Mathematical Sciences University of Guilan P.O. Box 1914, Rasht, Iran
Colloquium Mathematicum, Tome 128 (2012) no. 1, pp. 87-100 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\Sigma $-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=Z_2(R_R)\oplus R^\prime $, where $R^\prime $ is a hereditary right $R$-module. Examples illustrating the results are presented.
DOI : 10.4064/cm128-1-8
Keywords: introduce notions t rickart strongly t rickart modules provide several characterizations investigate properties each these concepts shown right sigma t extending only every r module t rickart every r module t rickart only oplus prime where prime hereditary right r module examples illustrating results presented

S. Ebrahimi Atani 1 ; M. Khoramdel 1 ; S. Dolati Pish Hesari 1

1 Faculty of Mathematical Sciences University of Guilan P.O. Box 1914, Rasht, Iran 
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S. Ebrahimi Atani; M. Khoramdel; S. Dolati Pish Hesari. T-Rickart modules. Colloquium Mathematicum, Tome 128 (2012) no. 1, pp. 87-100. doi: 10.4064/cm128-1-8

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