Results 81 to 90 of about 335,227 (157)

A commutativity‐or‐finiteness condition for rings [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
We show that a ring with only finitely many noncentral subrings must be either commutative or finite.
Abraham A. Klein, Howard E. Bell
openaire   +3 more sources

Uniformly 2-absorbing primary ideals of commutative rings

, 2020
In this study, we introduce the concept of uniformly 2-absorbing primary ideals of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absorbing primary ideals of commutative rings.
TEKİR, ÜNSAL, Tekir, Ü., Ulucak, G., Mostafanasab, H.   +3 more
core   +2 more sources

ON COMMUTATIVE GELFAND RINGS [PDF]

Journal of Sciences, Islamic Republic of Iran, 1999
A ring is called a Gelfand ring (pm ring ) if each prime ideal is contained in a unique maximal ideal. For a Gelfand ring R with Jacobson radical zero, we show that the following are equivalent: (1) R is Artinian; (2) R is Noetherian; (3) R has a finite ...
doaj  

Homological Dimensions over Non-commutative Semi-local Rings

, 1994
An associative ring R is called semi-local if R/J is artinian semisimple, where J is the radical of R. In this paper, we discuss homological dimensions over non-commutative semi-local rings.
Xu, J.Z., Cheng, F.C.
core   +1 more source

Smarandache near-rings [PDF]

, 2002
The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
core   +1 more source

On Axis-Reversible Rings

Mathematics
This work explores the notion of axis-reversible rings, a generalization of axis-commutative rings. The objective is to investigate their characteristics and relevance within the wider context of ring theory.
Muhammad Saad, Majed Zailaee
doaj   +1 more source

On pairs of subrings with a common set of proper ideals

International Journal of Mathematics and Mathematical Sciences, 2005
A study of pairs of commutative rings with the same set of prime ideals appears in the literature. In this paper, we investigate pairs of subrings, not necessarily commutative, with a common set of proper ideals.
Yasuyuki Hirano, Hisaya Tsutsui
doaj   +1 more source

N-ideals of commutative rings

Filomat, 2017
In this paper, we present a new classes of ideals: called n-ideal. Let R be a commutative ring with nonzero identity. We define a proper ideal I of R as an n-ideal if whenever ab ? I with a ? ?0, then b ? I for every a,b ? R. We investigate some properties of n-ideals analogous with prime ideals. Also, we give many examples with regard to n-
Tekir, Unsal, Koc, Suat, Oral, Kursat Hakan   +2 more
openaire   +4 more sources

Some Extensions of Generalized Morphic Rings and EM-rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Let R be a commutative ring with unity. The main objective of this article is to study the relationships between PP-rings, generalized morphic rings and EM-rings. Although PP-rings are included in the later rings, the converse is not in general true.
Ghanem Manal, Abu Osba Emad
doaj   +1 more source

Characterization of fuzzy neighborhood commutative division rings II

International Journal of Mathematics and Mathematical Sciences, 1995
In [4] we produced a characterization of fuzzy neighborhood commutative division rings; here we present another characterization of it in a sense that we minimize the conditions so that a fuzzy neighborhood system is compatible with the commutative ...
T. M. G. Ahsanullah, Fawzi A. Al-Thukair
doaj   +1 more source