On graded coprimely packed modules
2
조회
0
다운로드
0
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 intro- duce the concept of graded coprimely packed modules and we give a number of results concerning such graded modules. In fact, our objec- tive is to investigate graded coprimely packed modules and examine in particular when graded R-modules are graded coprimely packed. For example, we give a characterization of graded coprimely packed mod- ules. Also, the relations between graded coprimely packed modules and graded compactly packed modules are studied.
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 intro- duce the concept of graded coprimely packed modules and we give a number of results concerning such graded modules. In fact, our objec- tive is to investigate graded coprimely packed modules and examine in particular when graded R-modules are graded coprimely packed. For example, we give a characterization of graded coprimely packed mod- ules. Also, the relations between graded coprimely packed modules and graded compactly packed modules are studied.
참고문헌 (25)
- Khaldoun Al-Zoubi, "On Graded Quasi-Prime Submodules", Kyungpook Mathematical Journal, 55(2), pp.259~266 (2015), 경북대학교 자연과학대학 수학과
- K. Al-Zoubi, "On graded classical prime and graded prime submodules", Bull. Iranian Math. Soc., 41(1), pp.217~225 (2015)
- Khaldoun Al-Zoubi, "An intersection condition for graded prime ideals", Bollettino dell'Unione Matematica Italiana, 11(4), pp.483~488 (2018), Springer Science and Business Media LLC[DOI]
- H. Ansari-Toroghy, "Graded comultiplication modules", Chiang Mai J. Sci., 38(3), pp.311~320 (2011)
- S.E. Atani, "On graded prime submodules", Chiang Mai. J. Sci., 33(1), pp.3~7 (2006)
- S.E. Atani, "Graded multiplication modules and the graded ideal θg(M)", Turk. J. Math, 33, pp.1~9 (2009)
- S.E Atani, "Notes on the graded prime submodules", Int. Math. Forum, 38, pp.1871~1880 (2006)
- S.E. Atani, "On graded secondary modules", Turk. J. Math., 31, pp.371~378 (2007)
- S.E. Atani, "Graded modules which satisfy the Gr-Radical formula", Thai J. Math, 8(1), pp.161~170 (2010)
- J. Escoriza, "Multiplication rings and graded rings", Comm. in Al-gebra, 27(12), pp.6213~6232 (1999)
- J. Escoriza, "Multiplication Objects in Commutative Grothendieck Categories", Comm. in Algebra, 26(6), pp.1867~1883 (1998)
- F. Farzalipour, "On the union of graded prime submodules", Thai J. Math, 9(1), pp.49~55 (2011)
- M. A. M. Hamoda, "Weakly Primary Submodules over Noncommu-tative Rings", Journal of Progressive Research in Mathematics, 7, pp.917~927 (2016)
- R. Hazrat, "Graded Rings and Graded Grothendieck Groups" (2016), Cambridge University Press
- P. Ghiasvand, "On graded weak multiplication modules", Tamkang J. of Math, 43, pp.171~177 (2012)
- P. Ghiasvand, "Some properties of graded multiplication modules", Far East J. Math. Sci., 34, pp.341~352 (2009)
- 이상철, "Semiprime submodules of graded multiplication modules", 대한수학회지, 49(2), pp.435~447 (2012), 대한수학회
- C. Nastasescu, "Graded and filtered rings and modules", Lecture notes in mathematics, 758 (1982), Springer-Verlag
- C. Nastasescu, "Graded Ring Theory" (1982), North Holand
- C. Nastasescu, "Methods of Graded Rings" (2004), Springer-Verlag
- 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)
- P. F. Smith, "Mappings between module lattices", International Electronic Journal of Algebra, 15, pp.173~195 (2014)
- R.N. Uregen, "On the union of graded prime ideals", Open Phys., 14, pp.114~118 (2016)
- N. Zamani, "Finitely generated graded multiplication modules", Glasgow Math. J., 53(3), pp.693~705 (2011)
