논문KCI 등재
Some commutative rings defined by multiplication like-conditions
0
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
In this article we investigate the transfer of multiplication-like properties to homomorphic images, direct products and amalgamated duplication of a ring along an ideal. Our aim is to provide examples of new classes of commutative rings satisfying the above-mentioned properties.
Abstract
In this article we investigate the transfer of multiplication-like properties to homomorphic images, direct products and amalgamated duplication of a ring along an ideal. Our aim is to provide examples of new classes of commutative rings satisfying the above-mentioned properties.
참고문헌 (20)
- T. Alsuraiheed, "Characterization of multiplication commutative rings with finitely many minimal prime ideals", Comm. Algebra, 47(11), pp.4533~4540 (2019)[DOI]
- D. D. Anderson, "Multiplication Ideals, Multiplication Rings, and the Ring R(X)", Canadian Journal of Mathematics, 28(4), pp.760~768 (1976), Canadian Mathematical Society[DOI]
- D. D. ANDERSON, "IDEALS IN DIRECT PRODUCTS OF COMMUTATIVE RINGS", Bulletin of the Australian Mathematical Society, 77(3), pp.477~483 (2008), Cambridge University Press (CUP)[DOI]
- D. D. Anderson, "Idealization of a Module", Journal of Commutative Algebra, 1(1) (2009), Rocky Mountain Mathematics Consortium[DOI]
- M. Chhiti, "Some homological properties of amalgamated duplication of a ring along an ideal", Bull. Iranian Math. Soc, 38(2), pp.507~515 (2012)
- M. D’Anna, "A construction of Gorenstein rings", J. Algebra, 306(2), pp.507~519 (2006)[DOI]
- M. D’Anna, "The amalgamated duplication of a ring along a multiplicative-canonical ideal", Ark. Mat, 45(2), pp.241~252 (2007)[DOI]
- M. D’Anna, "An amalgamated duplication of a ring along an ideal : the basic properties", J. Algebra Appl, 6(3), pp.443~459 (2007)[DOI]
- Sarah Glaz, "Commutative Coherent Rings", Lecture Notes in Mathematics (1989), Springer Berlin Heidelberg[DOI]
- William J. Heinzer, "M-Canonical ideals in integral domains", Communications in Algebra, 26(9), pp.3021~3043 (1998), Informa UK Limited[DOI]
- J. A. Huckaba, "Monographs and Textbooks in Pure and Applied Mathematics" (1988), Marcel Dekker, Inc
- C. U. Jensen, "Arithmetical rings", Acta Math. Acad. Sci. Hungar, 17, pp.115~123 (1966)[DOI]
- S.-E. Kabbaj, "Matlis semire-regularity and semi-coherence in trivial ring extensions: a survey", Moroccan Journal of Algebra and Geometry with Applications
- S. -E. Kabbaj, "Zero-divisor graphs of amalgamations", Math. Scand, 123(2), pp.174~190 (2018)[DOI]
- M. Kabbour, "Arithmetical property in amalgamated algebras along an ideal", Palest. J. Math, 3, pp.395~399 (2014)
- K. Louartiti, "Transfer of multiplication-like conditions in amalgamated algebra along an ideal", Afr. Diaspora J. Math, 14(1), pp.119~125 (2012)
- H. R. Maimani, "Zero-divisor graphs of amalgamated duplication of a ring along an ideal", J. Pure Appl. Algebra, 212(1), pp.168~174 (2008)[DOI]
- A. Mimouni, "Trivial ring extensions defined by arithmetical-like properties", Comm. Algebra, 41(12), pp.4534~4548 (2013)[DOI]
- M. Nagata, "Local Rings, Interscience Tracts in Pure and Applied Mathematics, No. 13" (1962), Interscience Publishers a division of John Wiley Sons
- M. Tamekkante., "Self FP-injective amalgamated duplication of a ring along an ideal", Int. J. Pure Appl. Math, 13(2), pp.235~240 (2017)
관련 논문AI추천
On $S$-multiplication ringsMohamed Chhiti, Soibri Moindze대한수학회 · 대한수학회지2023 · 제60권 제2호ON S-ARMENDARIZ RINGSMohamed Chhiti, Salah Eddine Mahdou장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호RINGS IN WHICH EVERY NONZERO S-WEAKLY PRIME IDEAL IS S-PRIMEChahrazade Bakkari, Hamza El-Mzaiti장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제2호ZPI Property In Amalgamated Duplication RingAchraf Malek, Ahmed Hamed경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2022 · 제62권 제2호B\'ezout rings and weakly B\'ezout ringsHaitham El Alaoui대한수학회 · 대한수학회보2022 · 제59권 제4호S-coherent property in trivial extension and in amalgamated duplicationMohamed Chhiti, Salah Eddine Mahdou대한수학회 · 대한수학회논문집2023 · 제38권 제3호
이 간행물의 다른 논문 (16건)
Duadic codes over finite local ringsKarim Samei, Arezoo Soufi Karbaskipp. 265-276Characterizations of Jordan derivable mappings at the unit elementJiankui Li, Kaijia Luo, Shan Lipp. 277-283Random sampling and reconstruction of signals with finite rate of innovationYingchun Jiang, Junjian Zhaopp. 285-301VARIATIONS IN WRITHES OF VIRTUAL KNOTS UNDER A LOCAL MOVEAmrendra Gill, Prabhakar Madetipp. 303-318Positive expansivity, chain transitivity, rigidity, and specification on general topological spacesThiyam Thadoi Devi, Khundrakpam Binod Mangangpp. 319-343
