Results 21 to 30 of about 7,296 (219)

On Small Semiprime Submodules

open access: yesJournal of Physics: Conference Series, 2021
Abstract Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we introduce and study the concept of small semiprime submodules as a generalization of semiprime submodules. We investigate some basis properties of small semiprime submodules and give some characterizations of them, especially for ...
Nuhad S. Al. Mothafar   +1 more
openaire   +3 more sources

A note on power values of derivation in prime and semiprime rings [PDF]

open access: green, 2014
Let R be a ring with derivation d, such that (d(xy))^n =(d(x))^n(d(y))^n for all x,y in R and n>1 is a fixed integer. In this paper, we show that if R is a prime, then d = 0 or R is a commutative.
Shervin Sahebi, Venus Rahmani
openalex   +4 more sources

A note on derivations in semiprime rings [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 2005
We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all x∈R.
Joso Vukman, Irena Kosi-Ulbl
doaj   +2 more sources

Semiprime FDI-rings [PDF]

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2014
In this paper we present some results for FDI-rings, i.e. rings with a complete set of pairwise orthogonal primitive idempotents. We consider the nilpotency index of ideals and give its upper band for ideals in some classes of rings. We also give a new proof of a criterion of semiprime FDI-rings to be prime.
Nadiya Gubareni
doaj   +3 more sources

Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]

open access: yesComput Intell Neurosci, 2022
The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Zhou H   +5 more
europepmc   +2 more sources

Quasi-semiprime Modules

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2023
    Suppose that A be an abelain ring with identity, B be a unitary (left) A-module, in this paper ,we introduce a type of modules ,namely Quasi-semiprime A-module, whenever   is a Prime Ideal For proper submodule N of  B,then B is called Quasi ...
Muntaha Abdul- Razaq Hasan
doaj   +1 more source

On certain Γ-hyperideals in Γ-semihypergroups [PDF]

open access: yesJournal of Hyperstructures, 2020
In this paper pseudo symmetric Γ-hyperideal in Γsemihypergroups is introduced and characterized. It is proved thatthe class of pseudo symmetric Γ-semihypergroups contains left (right) duo Γ-semihypergroups, quasi commutative Γ-semihypergroups with unity,
Ansari Safoora Samreen Jamal Abdul Nasir   +1 more
doaj   +1 more source

Exploring Hybrid H-bi-Ideals in Hemirings: Characterizations and Applications in Decision Making

open access: yesMathematics, 2023
The concept of the hybrid structure, as an extension of both soft sets and fuzzy sets, has gained significant attention in various mathematical and decision-making domains.
Asmat Hadi   +5 more
doaj   +1 more source

Home - About - Disclaimer - Privacy