$I$-SECOND SUBMODULES OF A MODULE

Authors

  • F. Farshadifar Department of Mathematics, Farhangian University, Tehran, Iran Author
  • H. Ansari-Toroghy Department of pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran Author

Keywords:

Second submodule, weak second submodule, $I$-prime ideal, $I$-second submodule

Subjects:

13C13, 13C99

Abstract

Let $R$ be a commutative ring withidentity, $I$ an ideal of $R$, and $M$ be an $R$-module. In this paper,we will introduce the concept of $I$-second submodules of $M$ as a generalization of second submodules of $M$ and obtain some related results.

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Published

2020-01-15

Issue

Vol. 72 No. 1 (2020): Vol. 72, Issue 1

Section

Articles

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Copyright (c) 2020 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.