본문 바로가기
KERD
논문KCI 등재

Primitive Ideals of Semigroup Graded Rings

Hema Gopalakrishnan
경북대학교 자연과학대학 수학과|2004.12|Kyungpook Mathematical Journal|제44권 제4호|pp. 565-573

0

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

Abstract

Prime ideals of strong semigroup graded rings have been characterized by Bell, Stalder and Teply for some important classes of semigroups. The prime ideals correspond to certain families of ideals of the component rings called prime families. In this paper,we define the notion of a primitive family and show that primitive ideals of such rings correspond to primitive families of ideals of the component rings.

참고문헌 (11)

  1. "Prime ideals and radicals in semigroup gradedrings", 39, pp.1~25 (1996)
  2. "Prime ideals^radicals in rings graded by Clifford semigroups", 25(5), pp.1595~1608 (1997)
  3. "The preservation of some ring theoretic properties bysemilattice sums", 15, pp.1017~1038 (1897)
  4. "The algebraic theory of semigroups" (1961)
  5. "On the index of nilpotency of semigroup graded rings", 62, pp.146~158 (2001)
  6. "¼-regularity of semigroup graded rings", 30(2), pp.977~1000 (2002)
  7. "An introduction to semigroup theory", london (1976)
  8. "Algebra", new york (1974)
  9. "J. Regularity of semilattice sums of rings", pp.479~482 (1973)
  10. "Prime ideals and radicals of semigroup rings and semigroup-graded rings", 5, pp.155~190 (1994)
  11. "Supplementary semilattice sums of rings. Ph. D. thesis" (1980)

관련 논문AI추천

One-sided Prime Ideals in SemiringsMuhammad Shabir, Muhammad Sohail Iqbal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제4호Ideal Theory in Commutative A-semiringsHee Sik Kim, Joseph Neggers, Paul J. Allen경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호Rings whose prime radicals are completely primeByung-Ok Kim, Kwang-Ho Kang, Sang-Jig Nam, Su-Ho Sohn대한수학회 · 대한수학회논문집2005 · 제20권 제3호Properties on types of primitive near-ringsYong Uk Cho대한수학회 · 대한수학회논문집2004 · 제19권 제4호On Semicommutative Modules and RingsAbdullah Harmanci, Nazim Agayev경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호ON GRADED SEMI-PRIME RINGSRashid Abu-Dawwas장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호

이 간행물의 다른 논문 (15건)

An Extension Theory Analogue of Menger-Urysohn Addition Theorem for Stratifiable SpacesVera Tonicpp. 469-472On Certain Unified Integrals Involving General Class of Polynomials and the Multivariable H-functionShweta Mittal, Mridula Gargpp. 473-479On the Laplace Transform and the Generalized Weyl Fractional Integral Operator Involving the H-functionS. P. Goyal, R. Mukherjee, R. Jainpp. 481-493Two Variations of the Choquet GameJiling Cao, Zbigniew Piotrowskipp. 495-504Cauchy Completeness of κ-framesM. M. Ebrahimi, M. Mahmoudi, M. Vojdani Tabatabaeepp. 505-510
원문 보기