RINGS WITH LEFT MULTIPLICATIVE IDENTITIES

被引:0
|
作者
Ghosseiri, Nader M. [1 ]
机构
[1] Univ Kurdistan, Dept Math, POB 416, Sanandaj, Iran
关键词
Ring; left identity; ideal; automorphism; derivation; Jordan derivation; Jacobson radical;
D O I
10.1142/S1793557110000222
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we introduce the notion of left multiplicative identities for rings and prove some properties of such rings
引用
收藏
页码:323 / 328
页数:6
相关论文
共 50 条
  • [1] A Condition for Multiplicative Identities in Commutative Rings
    Smith, John H.
    [J]. AMERICAN MATHEMATICAL MONTHLY, 2012, 119 (10): : 883 - 884
  • [2] IDENTITIES WITH MULTIPLICATIVE GENERALIZED ( α, α )-DERIVATIONS OF SEMIPRIME RINGS
    Sandhu, Gurninder Singh
    Ayran, Ayse
    Aydin, Neset
    [J]. KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (03): : 365 - 382
  • [3] LEFT IDENTITIES IN NOETHERIAN RINGS
    JOHNS, B
    [J]. BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1978, 26 (9-10): : 781 - 782
  • [4] On functional identities in left ideals of prime rings
    Beidar, KI
    Chang, SC
    Chebotar, MA
    Fong, Y
    [J]. COMMUNICATIONS IN ALGEBRA, 2000, 28 (06) : 3041 - 3058
  • [5] Some Identities Involving Multiplicative Generalized Derivations in Prime and Semiprime Rings
    Dhara, Basudeb
    Mozumder, Muzibur Rahman
    [J]. BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2018, 36 (01): : 25 - 36
  • [6] Some identities related to multiplicative (generalized)-derivations in prime and semiprime rings
    Dhara, Basudeb
    Kar, Sukhendu
    Bera, Nripendu
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (02) : 1497 - 1516
  • [7] Multiplicative (generalized)-derivations and left ideals in semiprime rings
    Ali, Asma
    Dhara, Basudeb
    Khan, Shahoor
    Ali, Farhat
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (06): : 1293 - 1306
  • [8] SOME IDENTITIES INVOLVING MULTIPLICATIVE (GENERALIZED) (α,1)-DERIVATIONS IN SEMIPRIME RINGS
    Malleswari, G. Naga
    Sreenivasulu, S.
    Shobhalatha, G.
    [J]. JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, 2022, 28 (01) : 44 - 51
  • [9] Some identities related to multiplicative (generalized)-derivations in prime and semiprime rings
    Basudeb Dhara
    Sukhendu Kar
    Nripendu Bera
    [J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 1497 - 1516
  • [10] A note on multiplicative (generalized)-derivations and left ideals in semiprime rings
    Dhara, Basudeb
    Kar, Sukhendu
    Kuila, Swarup
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (02) : 631 - 640