본문 바로가기
KERD
논문KCI 등재

GRADED PRIMAL SUBMODULES OF GRADED MODULES

Ahmad Yousefian Darani
대한수학회 (The Korean Mathematical Society)|2011.09|대한수학회지 (Journal of the KMS)|제48권 제5호|pp. 927-938

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

graded primary submodulegraded prime submodulegraded primal submodule
주제분류수학

초록

Let G be an abelian monoid with identity e. Let R be a G-graded commutative ring, and M a graded R-module. In this paper we first introduce the concept of graded primal submodules of M and give some basic results concerning this class of submodules. Then we characterize the graded primal ideals of the idealization R(+)M.

Abstract

Let G be an abelian monoid with identity e. Let R be a G-graded commutative ring, and M a graded R-module. In this paper we first introduce the concept of graded primal submodules of M and give some basic results concerning this class of submodules. Then we characterize the graded primal ideals of the idealization R(+)M.

참고문헌 (13)

  1. D. D. Anderson, "Idealization of a module", J. Commut. Algebra, 1(1), pp.3~56 (2009)
  2. J. Dauns, "Primal modules", Comm. Algebra, 25(8), pp.2409~2435 (1997)
  3. S. Ebrahimi Atani, "On graded weakly prime ideals", Turkish J. Math, 30(4), pp.351~358 (2006)
  4. S. Ebrahimi Atani, "On graded prime submodules", Chaing Mai J. Sci, 33(1), pp.3~7 (2006)
  5. S. Ebrahimi Atani, "Graded multiplication modules and the graded ideal Θg(M)", Turk. J. Math, 33, pp.1~9 (2009)
  6. S. Ebrahimi Atani, "On graded multiplication modules", Chiang Mai J. Sci., To appear, ~
  7. S. Ebrahimi Atani, "Graded primal ideals, Georgian Math. J., Ahead of print", ~
  8. L. Fuchs, "On primal ideals", Proc. Amer. Math. Soc, pp.1~6 (1950)
  9. J. A. Huckaba, "Commutative Rings with Zero-Divisors, monographs and textbooks in Pure and Applied mathematics" (1988), Marcel Dekker, Inc
  10. C. Nastasescu, "Methods of Graded Rings(Lecture Notes in Mathe-matics, 1836)" (1836), Springer-Verlag
  11. M. Refai, "On Graded Primary Ideals", Turkish J. Math, 28(3), pp.217~229 (2004)
  12. R. Y. Sharp, "Asymptotic behaviour of certain sets of attached prime ideals", J. London Math. Soc, 34(2), pp.212~218 (1986)
  13. P. Smith, "Some remarks on multiplication modules", Arch. Math, 50(3), pp.223~235 (1988)

관련 논문AI추천

ON GRADED WEAKLY CLASSICAL PRIMARY SUBMODULESFARAH AL-TURMAN, Khaldoun Al-Zoubi장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제3호On Graded Quasi-Prime SubmodulesKhaldoun Al-Zoubi, Rashid Abu-Dawwas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제2호Semiprime submodules of graded multiplication modules이상철, Rezvan Varmazyar대한수학회 · 대한수학회지2012 · 제49권 제2호On Graded 2-Absorbing and GradedWeakly 2-Absorbing Primary IdealsAhmad Yousefian Darani, Fatemeh Soheilnia경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제4호ON GRADED 2-ABSORBING PRIMARY AND GRADED WEAKLY 2-ABSORBING PRIMARY IDEALSKhaldoun Al-Zoubi, Nisreen Sharafat대한수학회 · 대한수학회지2017 · 제54권 제2호On graded coprimely packed modulesJAN PASEKA, Khaldoun Al-Zoubi장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제2호

이 간행물의 다른 논문 (13건)

SOME EQUALITIES FOR CONTINUED FRACTIONS OF GENERALIZED ROGERS-RAMANUJAN TYPEXiantao Wang, Yongqun Lipp. 887-898φ-FRAMES AND φ-RIESZ BASES ON LOCALLY COMPACT ABELIAN GROUPSReihaneh Raisi Tousi, Rajab Ali Kamyabi Golpp. 899-912q-SOBOLEV ORTHOGONALITY OF THE q-LAGUERRE POLYNOMIALS <수식> FOR POSITIVE INTEGERS NEsther M. Garcia-Caballero, Samuel G. Morenopp. 913-926IMPROVING THE SOLVABILITY OF ILL-CONDITIONED SYSTEMS OF LINEAR EQUATIONS BY REDUCING THE CONDITION NUMBER OF THEIR MATRICESAbdellah Salhi, Muhammad Farooqpp. 939-952SPHERICAL HALL ALGEBRAS OF CURVES AND HARDER-NARASIMHAN STRATASOlivier Schiffmannpp. 953-967
원문 보기