On Graded Quasi-Prime Submodules
2
조회
0
다운로드
2
인용
0
참고문헌
키워드
초록
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded quasi-prime submodules and give some basic results about graded quasi-prime submodules of graded modules. Special attention has been paid, when graded modules are graded multiplication, to find extra properties of these submodules. Furthermore, a topology related to graded quasi-prime submodules is introduced.
Abstract
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded quasi-prime submodules and give some basic results about graded quasi-prime submodules of graded modules. Special attention has been paid, when graded modules are graded multiplication, to find extra properties of these submodules. Furthermore, a topology related to graded quasi-prime submodules is introduced.
참고문헌 (7)
- R. Abu-Dawwas., "Comultiplication modules over strongly graded rings", Int. J. Pure Appl. Math, 81(5), pp.693~699 (2012)
- S. E. Atani, "On graded prime submodules", Chiang Mai J. Sci, 33(1), pp.3~7 (2006)
- F. Farzalipour., "On the union of graded prime submodules", Thai. J. Math, 9(1), pp.49~55 (2011)
- C. Nastasescu., "Graded Ring Theory, Mathematical Library 28" (1982), North Holand
- K. H. Oral., "On graded prime and primary submodules", Turk. J. Math, 35, pp.159~167 (2011)
- M. Refai., "On graded primary ideals", Turk. J. Math, 28, pp.217~229 (2004)
- M. Refai., "Graded radicals and graded prime spectra", Far East J. Math. Sci. (FJMS), Part I, pp.59~73 (2000)