n-copure submodules of modules
Abstract
Let $R$ be a commutative ring, $M$ an $R$-module, and n>=1 an integer. In this paper, we will introduce the concept of n-copure submodules of $M$ as a generalization of copure submodules and obtain some related results.
Keywords
References
- [1] M.M. Ali and D.J. Smith, Pure submodules of multiplication modules, Beiträge Algebra Geom. 45 (1) (2004)61–74.
- [2] Y. Al-Shaniafi and P. F. Smith, Comultiplication modules over commutative rings, J. Commut. Algebra, 3 (1)(2011), 1-29.
- [3] W. Anderson and K.R. Fuller, Rings and Categories of Modules, Springer-Verlag, New York-Heidelberg-Berlin,1974.
- [4] H. Ansari-Toroghy and F. Farshadifar, The dual notion of multiplication modules, Taiwanese J. Math. 11 (4) (2007)1189–1201.
- [5] H. Ansari-Toroghy and F. Farshadifar, Product and dual product of submodules, Far East J. Math. Sci., 25 (3)(2007), 447–455.
- [6] H. Ansari-Toroghy and F. Farshadifar, Strong comultiplication modules, CMU. J. Nat. Sci. 8 (1) (2009), 105–113.
- [7] H. Ansari-Toroghy and F. Farshadifar, Fully idempotent and coidempotent modules, Bull. Iranian Math. Soc. 38(4) (2012), 987-1005.
- [8] A. Barnard, Multiplication modules, J. Algebra, 71 (1981), 174–178.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Faranak Farshadifar
Iran
Publication Date
November 30, 2018
Submission Date
June 20, 2018
Acceptance Date
November 14, 2018
Published in Issue
Year 2018 Volume: 15 Number: 2