Some Results on Lattice Involving Generalized Permuting Tri-Derivations

被引:0
|
作者
Bedda, Latifa [1 ]
Boua, Abdelkarim [1 ]
Taherifar, Ali [2 ]
机构
[1] Univ Sidi Mohammed Ben Abdellah, Polydisciplinary Fac, Dept Math, LSI, Taza, Morocco
[2] Univ Yasuj, Dept Math, Yasuj, Iran
来源
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2024年 / 42卷
关键词
Lattice; generalized permuting tri-derivations; permuting tri-derivations; PRIME; RINGS;
D O I
10.5269/bspm.64628
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 generalized permuting tri-derivations, g -derivations, and g -tri-derivations on lattices, and we study and generalize some properties discussed in [14] and [29]. We also give some properties characterizing the g -derivations, the g -tri-derivations, and the generalized permuting tri-derivations and their trace.
引用
收藏
页码:19 / 19
页数:1
相关论文
共 14 条
  • [1] PERMUTING TRI-DERIVATIONS IN LATTICES
    Ozturk, Mehmet Ali
    Yazarli, Hasret
    Kim, Kyung Ho
    QUAESTIONES MATHEMATICAE, 2009, 32 (03) : 415 - 425
  • [2] Estimation of permuting tri-homomorphisms and permuting tri-derivations associated with the tri-additive Υ-random operator inequality in matrix MB-algebra
    Aderyani, Safoura Rezaei
    Saadati, Reza
    Mesiar, Radko
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2022, 51 (06) : 547 - 569
  • [3] PERMUTING TRI-f-DERIVATIONS IN LATTICES
    Yazarli, Hasret
    Ozturk, Mehmet Ali
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 26 (01): : 13 - 21
  • [4] Idempotent Values of Commutators Involving Generalized Derivations
    Sandhu, Gurninder S.
    Ali, Shakir
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2022, 15 (03): : 357 - 366
  • [5] Some Results Concerning Multiplicative (Generalized)-Derivations and Multiplicative Left Centralizers
    Faraj, Anwar Khaleel
    Abduldaim, Areej M.
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2020, 15 (04) : 1073 - 1090
  • [6] SOME IDENTITIES INVOLVING MULTIPLICATIVE (GENERALIZED) (α,1)-DERIVATIONS IN SEMIPRIME RINGS
    Malleswari, G. Naga
    Sreenivasulu, S.
    Shobhalatha, G.
    JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, 2022, 28 (01) : 44 - 51
  • [7] Some results on ideals of semiprime rings with multiplicative generalized derivations
    Koc, Emine
    Golbasi, Oznur
    COMMUNICATIONS IN ALGEBRA, 2018, 46 (11) : 4905 - 4913
  • [8] Tri-Additive Maps and Local Generalized (α, β)-Derivations
    Mozumder, M. R.
    Jamal, M. R.
    UKRAINIAN MATHEMATICAL JOURNAL, 2017, 69 (06) : 986 - 992
  • [9] CLASSIFICATION OF SOME SPECIAL GENERALIZED DERIVATIONS
    Idrissi, M. A.
    Oukhtite, L.
    INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2021, 29 : 50 - 62
  • [10] Identities involving generalized derivations act as Jordan homomorphisms
    Gupta, Pallavee
    Tiwari, S. K.
    Prajapati, B.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024, 55 (02) : 731 - 748