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STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES

Year 2016, Volume: 20 Issue: 20, 86 - 99, 01.12.2016
https://doi.org/10.24330/ieja.266185

Abstract

In this paper, we introduce the notions of strongly t-extending and
strongly t-Baer modules. We provide several characterizations and investigate
properties of each of these concepts. It is shown that, while a direct summand
of a strongly t-extending module inherits the property, direct sums of
strongly t-extending modules do not. Moreover, when a direct sum of strongly
t-extending modules is strongly t-extending, is investigated. Also, it is proved
that every strongly t-extending module has strongly summand intersection
property and densely co-Hopfian property.

Year 2016, Volume: 20 Issue: 20, 86 - 99, 01.12.2016
https://doi.org/10.24330/ieja.266185

Abstract

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Details

Subjects Mathematical Sciences
Other ID JA54GJ87BU
Journal Section Articles
Authors

S. Ebrahimi Atani This is me

S. Dolati Pish Hesari This is me

M. Khoramdel This is me

Publication Date December 1, 2016
Published in Issue Year 2016 Volume: 20 Issue: 20

Cite

APA Atani, S. E., Hesari, S. D. P., & Khoramdel, M. (2016). STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES. International Electronic Journal of Algebra, 20(20), 86-99. https://doi.org/10.24330/ieja.266185
AMA Atani SE, Hesari SDP, Khoramdel M. STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES. IEJA. December 2016;20(20):86-99. doi:10.24330/ieja.266185
Chicago Atani, S. Ebrahimi, S. Dolati Pish Hesari, and M. Khoramdel. “STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES”. International Electronic Journal of Algebra 20, no. 20 (December 2016): 86-99. https://doi.org/10.24330/ieja.266185.
EndNote Atani SE, Hesari SDP, Khoramdel M (December 1, 2016) STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES. International Electronic Journal of Algebra 20 20 86–99.
IEEE S. E. Atani, S. D. P. Hesari, and M. Khoramdel, “STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES”, IEJA, vol. 20, no. 20, pp. 86–99, 2016, doi: 10.24330/ieja.266185.
ISNAD Atani, S. Ebrahimi et al. “STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES”. International Electronic Journal of Algebra 20/20 (December 2016), 86-99. https://doi.org/10.24330/ieja.266185.
JAMA Atani SE, Hesari SDP, Khoramdel M. STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES. IEJA. 2016;20:86–99.
MLA Atani, S. Ebrahimi et al. “STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES”. International Electronic Journal of Algebra, vol. 20, no. 20, 2016, pp. 86-99, doi:10.24330/ieja.266185.
Vancouver Atani SE, Hesari SDP, Khoramdel M. STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES. IEJA. 2016;20(20):86-99.