Results 21 to 30 of about 485,317 (263)

ARTINIAN \(\mathbf{M}\)-COMPLETE, \(\mathbf{M}\)-REDUCED, AND MINIMALLY \(\mathbf{M}\)-COMPLETE ASSOCIATIVE RINGS

Ural Mathematical Journal
In 1996, the first author defined analogs of the concepts of complete (divisible), reduced, and periodic abelian groups, well-known in the theory of abelian groups, for arbitrary varieties of algebras. In 2021, the first author proposed a modification of
Leonid M. Martynov, Tatiana V. Pavlova
doaj   +1 more source

On lattice of Basic Z-Ideals

پژوهش‌های ریاضی, 2021
For an f-ring  with bounded inversion property, we show that  , the set of all basic z-ideals of , partially ordered by inclusion is a bounded distributive lattice.
Ali Taherifar
doaj  

An extension of the reflexive property of rings

Arab Journal of Mathematical Sciences, 2019
Mason introduced the notion of reflexive property of rings as a generalization of reduced rings. For a ring endomorphism α, Krempa studied α-rigid rings as an extension of reduced rings. In this note, we introduce the notion of α-quasi reflexive rings as
Arnab Bhattacharjee
doaj   +1 more source

Commutative Medial Near Ring

Ratio Mathematica, 2023
We deliberate a substructure of a near ring called mediality so as to create a new platform, on which many of the properties like commutativity, regular, idempotent and zero symmetric are applied with.
Dhivya C, Radha D
doaj   +1 more source

Polynomial rings over commutative reduced Hopfian local rings [PDF]

Acta Mathematica Hungarica, 2017
7 pages, no ...
Dhorajia, A. M., Mukherjee, H.
openaire   +3 more sources

Idempotent Reflexive rings whose every simle singular right module are yj-injective [PDF]

المجلة العراقية للعلوم الاحصائية, 2011
In this paper we study rightidempotent reflexive ring whose simple singular right R-module isYJ-injective, we prove that this type of ring is right weakly regular ring, we show that if R is N duo or NCI ring and R is right idempotent reflexive ring ...
doaj   +1 more source

Commutative rings with homomorphic power functions

International Journal of Mathematics and Mathematical Sciences, 1992
A (commutative) ring R (with identity) is called m-linear (for an integer m≥2) if (a+b)m=am+bm for all a and b in R. The m-linear reduced rings are characterized, with special attention to the finite case.
David E. Dobbs, John O. Kiltinen, Bobby J. Orndorff   +2 more
doaj   +1 more source

On G.P.P-Rings [PDF]

مجلة التربية والعلم, 2006
In this work we introduce the notion of G.P.P- rings and some of it is basic properties, we prove that if R is a right G.P.P- ring , then R is P.P- ring if r(an)r(a) for every aR and a positive integer n.
Manal Abd
doaj   +1 more source

On the comaximal graph of a ring

AKCE International Journal of Graphs and Combinatorics
In this paper, we prove that the study of the comaximal graph of a finite commutative ring with identity is the same as the study of the zero-divisor graph of the specially constructed lattice.
Pravin Gadge, Nilesh Khandekar, Vinayak Joshi   +2 more
doaj   +1 more source

Central Nervous System Neuroblastoma, FOXR2‐Activated: A Pooled Analysis of Published Clinical Outcomes

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) neuroblastoma, FOXR2‐activated, is a recently recognized entity in the WHO CNS5 classification, defined by activation of the FOXR2 transcription factor and unique histopathological features. This review synthesizes available literature and pooled clinical data, providing insight into demographics ...
Sudarshawn Damodharan, Mohamed S. Abdelbaki   +1 more
wiley   +1 more source