EN
STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES
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.
Keywords
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
-
Publication Date
December 1, 2016
Submission Date
December 1, 2016
Acceptance Date
-
Published in Issue
Year 2016 Volume: 20 Number: 20
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
1.Atani SE, Hesari SDP, Khoramdel M. STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES. IEJA. 2016;20(20):86-99. doi:10.24330/ieja.266185
Chicago
Atani, S. Ebrahimi, S. Dolati Pish Hesari, and M. Khoramdel. 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.
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
[1]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, Dec. 2016, doi: 10.24330/ieja.266185.
ISNAD
Atani, S. Ebrahimi - Hesari, S. Dolati Pish - Khoramdel, M. “STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES”. International Electronic Journal of Algebra 20/20 (December 1, 2016): 86-99. https://doi.org/10.24330/ieja.266185.
JAMA
1.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, Dec. 2016, pp. 86-99, doi:10.24330/ieja.266185.
Vancouver
1.S. Ebrahimi Atani, S. Dolati Pish Hesari, M. Khoramdel. STRONGLY T-EXTENDING MODULES AND STRONGLY T-BAER MODULES. IEJA. 2016 Dec. 1;20(20):86-99. doi:10.24330/ieja.266185