Results 51 to 60 of about 3,083 (173)

Anti fuzzy ideal extension of semigroups [PDF]

Journal of Hyperstructures, 2012
In this paper the concepts of anti fuzzy l-prime ideals, anti fuzzy semiprime ideals and anti fuzzy ideal extensions in asemigroup have been introduced. They are found to satisfy characteristic function criterion and anti level subset criterion.
S. Kumar Majumder, P. Pal, S. K. Sardar
doaj   +1 more source

Effects of Generalized Semiderivations on Algebraic Identities Involving Prime Ideals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, instead of a generalized derivation, we will use the concept of a generalized semiderivation ∇ that satisfies various identities involving a prime ideal ß of an optional ring Λ to describe the behavior of a quotient ring Λ/ß. We will use this concept to generalize some well‐known results that studied the behavior of a ring Λ via a ...
Kholood Alnefaie, Pramita Mishra
wiley   +1 more source

Notes on Semiprime Ideals with Symmetric Bi-Derivation

Axioms
In this paper, we prove many algebraic identities that include symmetric bi-derivation in rings which contain a semiprime ideal. We intend to generalize previous results obtained for semiprime rings with symmetric derivation using semiprime ideals in ...
Ali Yahya Hummdi, Öznur Gölbaşı, Emine Koç Sögütcü, Nadeem ur Rehman   +3 more
doaj   +1 more source

Commutativity results for semiprime rings with derivations

International Journal of Mathematics and Mathematical Sciences, 1998
We extend a result of Herstein concerning a derivation d on a prime ring R satisfying [d(x),d(y)]=0 for all x,y∈R, to the case of semiprime rings. An extension of this result is proved for a two-sided ideal but is shown to be not true for a one-sided ...
Mohammad Nagy Daif
doaj   +1 more source

A Pair of Generalized (α, α)‐Derivations With Identities Related to Prime Ideals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Let A be an arbitrary ring, α an automorphism of A, I a nonzero ideal of A, and ϒ a prime ideal of A satisfying the condition ϒ⊊αI. This research investigates the interplay between two generalized (α, α)‐derivations, Ω and G (associated with (α, α)‐derivations f and h, respectively), and the resulting characteristics of the quotient ring A/ϒ.
Ali Yahya Hummdi, Hafedh Alnoghashi, Radwan Mohammed Al-Omary, Abdelkarim Boua, Faranak Farshadifar   +4 more
wiley   +1 more source

Coweakly Uniserial Modules and Rings Whose (2‐Generated) Modules Are Coweakly Uniserial

Journal of Mathematics, Volume 2025, Issue 1, 2025.
A module is called weakly uniserial if for any two its submodules at least one of them is embedded in the other. This is a nontrivial generalization of uniserial modules and rings. Here, we introduce and study the dual of this concept. In fact, an R‐module M is called coweakly uniserial if for any submodules N, K of M, HomR(M/N, M/K) or HomR(M/K, M/N ...
M. M. Oladghobad, R. Beyranvand, Faranak Farshadifar   +2 more
wiley   +1 more source

Weakly (m,n)–semiprime submodules

Electronic Journal of Mathematics, 2023
تعطي هذه المقالة العديد من الخصائص لنوع جديد من الوحدات الفرعية، وهي الوحدات الفرعية الضعيفة (m، n) - semiprime حيث m و n هي أعداد صحيحة إيجابية ترضي m > n. الأهداف الأساسية لهذه المقالة هي توصيف الوحدات الفرعية الضعيفة (m، n) semiprime وتوفير توصيف جديد للوحدات النمطية العادية لـ von Neumann من حيث الوحدات الفرعية الضعيفة (m، n) - semiprime.
openaire   +2 more sources

Quantum Groupoids Acting on Semiprime Algebras

Advances in Mathematical Physics, 2011
Following Linchenko and Montgomery's arguments we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.
Inês Borges, Christian Lomp
doaj   +1 more source

Free actions on semiprime rings [PDF]

Mathematica Bohemica, 2008
Summary: We identify some situations where mappings related to left centralizers, derivations and generalized \((\alpha,\beta)\)-derivations are free actions on semiprime rings. We show that for a left centralizer, or a derivation \(T\), of a semiprime ring \(R\) the mapping \(\psi\colon R\to R\) defined by \(\psi(x)=T(x)x-xT(x)\) for all \(x\in R\) is
Chaudhry, Muhammad Anwar, Samman, Mohammad S.   +1 more
openaire   +1 more source

A Unified Approach to Generalizing π‐Extending and π‐Baer Rings

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper introduces and examines the right essentially π‐Baer ring property, which serves as a new extension of the π‐extending and π‐Baer ring conditions. The initial phase of the study involves the development of several foundational results. The subsequent phase of the study involves the exploration of the transfer of the right essentially π‐Baer ...
Yeliz Kara, Ali Jaballah
wiley   +1 more source