STRONGLY BAER AND STRONGLY QUASI-BAER SEMIRINGS AND GENERALIZATIONS

被引:2
|
作者
Gupta, V. [1 ]
Chaudhari, J. N. [2 ]
Kumar, P. [3 ]
机构
[1] Univ Delhi, Dept Math, Delhi 110007, India
[2] MJ Coll, Dept Math, Jalgaon 425002, India
[3] Univ Delhi, Hindu Coll, Dept Math, Delhi 110007, India
关键词
Strongly Baer semiring; strongly quasi-Baer semiring; strongly p.p. semiring; strongly quasi-p.p. semiring; regular semiring; pi-regular semiring; nilpotent free semiring;
D O I
10.1142/S1793557109000492
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study strongly Baer semirings, strongly quasi-Baer semirings and generalizations. We extend the results of ([3], [11], [13], [14], [15]) to noncommutative semirings with identity element 1 not equal 0.
引用
收藏
页码:579 / 591
页数:13
相关论文
共 50 条
  • [31] A NOTE ON GENERALIZED QUASI-BAER RINGS
    Anzani, M.
    Javadi, H. Haj Seyyed
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2014, 38 (02): : 245 - 248
  • [32] Polynomial extensions of quasi-Baer rings
    E. Hashemi
    A. Moussavi
    Acta Mathematica Hungarica, 2005, 107 : 207 - 224
  • [33] Principally Quasi-Baer Ring Hulls
    Birkenmeier, Gary F.
    Park, Jae Keol
    Rizvi, S. Tariq
    ADVANCES IN RING THEORY, 2010, : 47 - +
  • [34] Generalized quasi-Baer -rings and Banach -algebras
    Ahmadi, Morteza
    Golestani, Nasser
    Moussavi, Ahmad
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (05) : 2207 - 2247
  • [35] A simple proof of a theorem on quasi-Baer rings
    Zhou, YQ
    ARCHIV DER MATHEMATIK, 2003, 81 (03) : 253 - 254
  • [36] ORE EXTENSIONS OF PRINCIPALLY QUASI-BAER RINGS
    Ben Yakoub, L'Moufadal
    Louzari, Mohamed
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2009, 13 (02): : 137 - 151
  • [37] n-extended quasi-Baer rings
    Sh. Ghalandarzadeh
    F. Zareh Khoshchehreh
    Mathematical Notes, 2009, 85 : 787 - 798
  • [38] Quasi-Baer and biregular generalized matrix rings
    Birkenmeier, Gary F.
    Davis, Donald D.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2017, 16 (04)
  • [39] n-extended quasi-Baer rings
    Ghalandarzadeh, Sh.
    Khoshchehreh, F. Zareh
    MATHEMATICAL NOTES, 2009, 85 (5-6) : 787 - 798
  • [40] PRINCIPALLY QUASI-BAER PROPERTIES OF GROUP RINGS
    Zan, Libo
    Chen, Jianlong
    STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2012, 49 (04) : 454 - 465