On Multiplicative (Generalized)-Derivation Involving Semiprime Ideals

被引:3
|
作者
Alnoghashi, Hafedh M. M. [1 ]
Naji, Sabah [2 ]
Rehman, Nadeem Ur [3 ]
机构
[1] Amran Univ, Dept Math, Amran, Yemen
[2] Al Baha Univ, Fac Sci & Arts Baljurashi, Dept Math, Al Baha, Saudi Arabia
[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India
关键词
PRIME;
D O I
10.1155/2023/8855850
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let A be any arbitrary associative ring, P a semiprime ideal, and J a nonzero ideal of A. In this study, using multiplicative (generalized)-derivations, we explore the behavior of semiprime ideals that satisfy certain algebraic identities. Moreover, examples are provided to demonstrate that the restrictions imposed on the hypotheses of the various theorems are necessary.
引用
收藏
页数:7
相关论文
共 50 条
  • [1] Some Equations in Rings Involving Semiprime Ideals and Multiplicative Generalized Semiderivations
    Hummdi, Ali Yahya
    Golbasi, Oznur
    Sogutcu, Emine Koc
    Rehman, Nadeem ur
    MATHEMATICS, 2024, 12 (18)
  • [2] Multiplicative (generalized)-derivation in semiprime rings
    Tiwari S.K.
    Sharma R.K.
    Dhara B.
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2017, 58 (1): : 211 - 225
  • [3] MULTIPLICATIVE GENERALIZED DERIVATIONS ON IDEALS IN SEMIPRIME RINGS
    Golbas, Oznur
    MATHEMATICA SLOVACA, 2016, 66 (06) : 1285 - 1296
  • [4] A NOTE ON MULTIPLICATIVE (GENERALIZED)-DERIVATION IN SEMIPRIME RINGS
    Rehman, Nadeem Ur
    Hongan, Motoshi
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2018, 36 (1-2): : 81 - 92
  • [5] Multiplicative (generalized)-derivations and left ideals in semiprime rings
    Ali, Asma
    Dhara, Basudeb
    Khan, Shahoor
    Ali, Farhat
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (06): : 1293 - 1306
  • [6] A note on multiplicative (generalized)-skew derivation on semiprime rings
    Rehman, Nadeem Ur
    Khan, Mohammad Shadab
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2018, 12 (04): : 450 - 454
  • [7] On Lie ideals with multiplicative (generalized)-derivations in prime and semiprime rings
    Ali S.
    Dhara B.
    Dar N.A.
    Khan A.N.
    Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2015, 56 (1): : 325 - 337
  • [8] Some results on ideals of semiprime rings with multiplicative generalized derivations
    Koc, Emine
    Golbasi, Oznur
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (11) : 4905 - 4913
  • [9] A note on multiplicative (generalized)-derivations and left ideals in semiprime rings
    Basudeb Dhara
    Sukhendu Kar
    Swarup Kuila
    Rendiconti del Circolo Matematico di Palermo Series 2, 2021, 70 : 631 - 640
  • [10] NOTES ON LEFT IDEALS OF SEMIPRIME RINGS WITH MULTIPLICATIVE GENERALIZED (α, α) - DERIVATIONS
    Ulutas, Ercan
    Golbasi, Oznur
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2021, 36 (04): : 903 - 912