Herstein's theorem for prime ideals of semirings with involution
This article discusses differential identities involving Jordan and Lie products that connect an MA-semiring to its prime ideals. The main objective is to investigate how these identities impose various properties on the quotient MA-semiring determined by a prime ideal. In particular, we establish H...
Saved in:
| Date: | 2026 |
|---|---|
| Main Authors: | Ali, Liaqat, Aslam, Muhammad |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2026
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1986 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete MathematicsSimilar Items
On Herstein's identity in prime rings
by: Sandhu, G. S.
Published: (2022)
by: Sandhu, G. S.
Published: (2022)
A study of homoderivations in 3-prime near-rings with centralizing constraints
by: El Amrani, Slimane, et al.
Published: (2026)
by: El Amrani, Slimane, et al.
Published: (2026)
Some commutativity criteria for 3-prime near-rings
by: Raji, A.
Published: (2022)
by: Raji, A.
Published: (2022)
The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\)
by: Bavula, V., et al.
Published: (2021)
by: Bavula, V., et al.
Published: (2021)
Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions
by: Niño, A., et al.
Published: (2021)
by: Niño, A., et al.
Published: (2021)
On the Lie ring of derivations of a semiprime ring
by: Artemovych, Orest D., et al.
Published: (2018)
by: Artemovych, Orest D., et al.
Published: (2018)
An identity on automorphisms of Lie ideals in prime rings
by: Rehmam, N.
Published: (2022)
by: Rehmam, N.
Published: (2022)
Associated prime ideals of weak \(\sigma\)-rigid rings and their extensions
by: Bhat, V. K.
Published: (2018)
by: Bhat, V. K.
Published: (2018)
Rigid, quasi-rigid and matrix rings with \((\overline{\sigma},0)\)multiplication
by: Abdioglu, Cihat, et al.
Published: (2018)
by: Abdioglu, Cihat, et al.
Published: (2018)
The total torsion element graph of semimodules over commutative semirings
by: Atani, S. Ebrahimi, et al.
Published: (2018)
by: Atani, S. Ebrahimi, et al.
Published: (2018)
Lie and Jordan structures of differentially semiprime rings
by: Artemovych, Orest D., et al.
Published: (2015)
by: Artemovych, Orest D., et al.
Published: (2015)
Units of some group algebras of groups of order \(12\) over any finite field of characteristic \(3\)
by: Gildea, Joe, et al.
Published: (2018)
by: Gildea, Joe, et al.
Published: (2018)
On the nilpotence of the prime radical in module categories
by: Arellano, C., et al.
Published: (2022)
by: Arellano, C., et al.
Published: (2022)
Trivial units in commutative group rings of \(G\times C_{n}\)
by: Küsmüş, Ömer
Published: (2024)
by: Küsmüş, Ömer
Published: (2024)
On \(\Sigma\)-skew reflexive-nilpotents-property for rings
by: Suárez, Héctor, et al.
Published: (2024)
by: Suárez, Héctor, et al.
Published: (2024)
Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type
by: Asashiba, Hideto, et al.
Published: (2015)
by: Asashiba, Hideto, et al.
Published: (2015)
A note on the differential smoothness of skew PBW extensions
by: Rubiano, Andrés, et al.
Published: (2026)
by: Rubiano, Andrés, et al.
Published: (2026)
On associative algebras satisfying the identity \(x^5 = 0\)
by: Shestakov, Ivan, et al.
Published: (2018)
by: Shestakov, Ivan, et al.
Published: (2018)
On strongly graded Gorestein orders
by: Theohari-Apostolidi, Th., et al.
Published: (2018)
by: Theohari-Apostolidi, Th., et al.
Published: (2018)
Derived tame and derived wild algebras
by: Drozd, Yuriy A.
Published: (2018)
by: Drozd, Yuriy A.
Published: (2018)
Rings of functions on non-abelian groups
by: Maxson, C. J.
Published: (2018)
by: Maxson, C. J.
Published: (2018)
Dimensions of finite type for representations of partially ordered sets
by: Drozd, Yuriy A., et al.
Published: (2018)
by: Drozd, Yuriy A., et al.
Published: (2018)
Generalized multiplicative bases for one-sided bimodule problems
by: Babych, Vyacheslav, et al.
Published: (2018)
by: Babych, Vyacheslav, et al.
Published: (2018)
On Frobenius full matrix algebras with structure systems
by: Fujita, Hisaaki, et al.
Published: (2018)
by: Fujita, Hisaaki, et al.
Published: (2018)
Generalization of primal superideals
by: Jaber, Ameer
Published: (2016)
by: Jaber, Ameer
Published: (2016)
On some relationships between snake graphs and Brauer configuration algebras
by: Espinosa, P. F. F., et al.
Published: (2022)
by: Espinosa, P. F. F., et al.
Published: (2022)
Factorization of elements in noncommutative rings, I
by: Facchini, Alberto, et al.
Published: (2016)
by: Facchini, Alberto, et al.
Published: (2016)
A Morita context related to finite groups acting partially on a ring
by: Guzman, Jesus Avila, et al.
Published: (2018)
by: Guzman, Jesus Avila, et al.
Published: (2018)
Baer semisimple modules and Baer rings
by: Guo, Xiaojiang, et al.
Published: (2018)
by: Guo, Xiaojiang, et al.
Published: (2018)
The socle of Leavitt path algebras over a semiprime ring
by: Wardati, K.
Published: (2023)
by: Wardati, K.
Published: (2023)
Categorical properties of some algorithms of differentiation for equipped posets
by: Gaviria, I. D. M., et al.
Published: (2022)
by: Gaviria, I. D. M., et al.
Published: (2022)
A construction of dual box
by: Ovsienko, Serge
Published: (2018)
by: Ovsienko, Serge
Published: (2018)
A maximal \(T\)-space of \(\mathbb{F}_{3}[x]_0\)
by: Bekh-Ochir, Chuluun, et al.
Published: (2018)
by: Bekh-Ochir, Chuluun, et al.
Published: (2018)
On fully wild categories of representations of posets
by: Kasjan, Stanislaw
Published: (2018)
by: Kasjan, Stanislaw
Published: (2018)
A study on generalized matrix algebras having generalized Lie derivations
by: Jabeen, A., et al.
Published: (2023)
by: Jabeen, A., et al.
Published: (2023)
On separable and \(H\)-separable polynomials in skew polynomial rings of several variables
by: Ikehata, Shuichi
Published: (2018)
by: Ikehata, Shuichi
Published: (2018)
Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3
by: Bialkowski, Jerzy, et al.
Published: (2018)
by: Bialkowski, Jerzy, et al.
Published: (2018)
On dispersing representations of quivers and their connection with representations of bundles of semichains
by: Bondarenko, Vitalij M.
Published: (2018)
by: Bondarenko, Vitalij M.
Published: (2018)
On the Amitsur property of radicals
by: Loi, N. V., et al.
Published: (2018)
by: Loi, N. V., et al.
Published: (2018)
Globalizations for partial (co)actions on coalgebras
by: Castro, Felipe, et al.
Published: (2019)
by: Castro, Felipe, et al.
Published: (2019)
Similar Items
-
On Herstein's identity in prime rings
by: Sandhu, G. S.
Published: (2022) -
A study of homoderivations in 3-prime near-rings with centralizing constraints
by: El Amrani, Slimane, et al.
Published: (2026) -
Some commutativity criteria for 3-prime near-rings
by: Raji, A.
Published: (2022) -
The prime spectrum of the universal enveloping algebra of the 1-spatial ageing algebra and of \(U(\mathfrak{gl}_2)\)
by: Bavula, V., et al.
Published: (2021) -
Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions
by: Niño, A., et al.
Published: (2021)