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Year 2019, Volume 6 , Issue 2, Pages 95 - 103 2019-05-07

Abstract

Let $R$ be a ring and $M$ a right $R$-module. Let $N$ be a proper submodule of $M$. We say that $M$ is $N$-coretractable (or $M$ is coretractable relative to $N$) provided that, for every proper submodule $K$ of $M$ containing $N$, there is a nonzero homomorphism $f:M/K\rightarrow M$. We present some conditions that a module $M$ is coretractable if and only if $M$ is coretractable relative to a submodule $N$. We also provide some examples to illustrate special cases.

Keywords

Coretractable module, N-coretractable module

References

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Details

Primary Language en
Subjects Engineering
Journal Section Articles
Authors

Orcid: 0000-0002-2852-7870
Author: Ali Reza Moniri HAMZEKOLAEE (Primary Author)

Orcid: 0000-0003-2311-4628
Author: Yahya TALEBİ
Dates

Publication Date : May 7, 2019

Cite

Bibtex @research article { jacodesmath561322, journal = {Journal of Algebra Combinatorics Discrete Structures and Applications}, issn = {}, eissn = {2148-838X}, address = {}, publisher = {Yildiz Technical University}, year = {2019}, pages = {95 - 103}, doi = {10.13069/jacodesmath.561322}, title = {Coretractable modules relative to a submodule}, key = {cite}, author = {Hamzekolaee, Ali Reza Moniri and Talebi̇, Yahya} }
APA Hamzekolaee, A , Talebi̇, Y . (2019). Coretractable modules relative to a submodule . Journal of Algebra Combinatorics Discrete Structures and Applications , 6 (2) , 95-103 . DOI: 10.13069/jacodesmath.561322
MLA Hamzekolaee, A , Talebi̇, Y . "Coretractable modules relative to a submodule" . Journal of Algebra Combinatorics Discrete Structures and Applications 6 (2019 ): 95-103 <https://dergipark.org.tr/en/pub/jacodesmath/article/561322>
Chicago Hamzekolaee, A , Talebi̇, Y . "Coretractable modules relative to a submodule". Journal of Algebra Combinatorics Discrete Structures and Applications 6 (2019 ): 95-103
RIS TY - JOUR T1 - Coretractable modules relative to a submodule AU - Ali Reza Moniri Hamzekolaee , Yahya Talebi̇ Y1 - 2019 PY - 2019 N1 - doi: 10.13069/jacodesmath.561322 DO - 10.13069/jacodesmath.561322 T2 - Journal of Algebra Combinatorics Discrete Structures and Applications JF - Journal JO - JOR SP - 95 EP - 103 VL - 6 IS - 2 SN - -2148-838X M3 - doi: 10.13069/jacodesmath.561322 UR - https://doi.org/10.13069/jacodesmath.561322 Y2 - 2019 ER -
EndNote %0 Journal of Algebra Combinatorics Discrete Structures and Applications Coretractable modules relative to a submodule %A Ali Reza Moniri Hamzekolaee , Yahya Talebi̇ %T Coretractable modules relative to a submodule %D 2019 %J Journal of Algebra Combinatorics Discrete Structures and Applications %P -2148-838X %V 6 %N 2 %R doi: 10.13069/jacodesmath.561322 %U 10.13069/jacodesmath.561322
ISNAD Hamzekolaee, Ali Reza Moniri , Talebi̇, Yahya . "Coretractable modules relative to a submodule". Journal of Algebra Combinatorics Discrete Structures and Applications 6 / 2 (May 2019): 95-103 . https://doi.org/10.13069/jacodesmath.561322
AMA Hamzekolaee A , Talebi̇ Y . Coretractable modules relative to a submodule. Journal of Algebra Combinatorics Discrete Structures and Applications. 2019; 6(2): 95-103.
Vancouver Hamzekolaee A , Talebi̇ Y . Coretractable modules relative to a submodule. Journal of Algebra Combinatorics Discrete Structures and Applications. 2019; 6(2): 95-103.
IEEE A. Hamzekolaee and Y. Talebi̇ , "Coretractable modules relative to a submodule", Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 6, no. 2, pp. 95-103, May. 2019, doi:10.13069/jacodesmath.561322
Authors of the Article
Ali Reza Moniri HAMZEKOLAEE [1]
Yahya TALEBİ [2]
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