Results 41 to 50 of about 713 (119)
Characterization of rings with planar, toroidal or projective planar prime ideal sum graphs
AKCE International Journal of Graphs and CombinatoricsLet R be a commutative ring with unity. The prime ideal sum graph [Formula: see text] of the ring R is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of R and two distinct vertices I and J are adjacent if and only if
Praveen Mathil +3 more
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On Prime Rings with Derivations
AxiomsThis paper identifies all derivations associated with two well-known non-commutative prime rings and provides some remarks on one of these derivations, called the prime derivation.
Khalid H. Al-Shaalan
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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 ...
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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
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Derivation Requirements on Prime Near-Rings for Commutative Rings
Jurnal Ilmu Dasar, 2019 Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative ...
Dian Winda Setyawati +2 more
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MathematicsThis 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
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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
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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
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Weakly periodic and subweakly periodic rings
International Journal of Mathematics and Mathematical Sciences, 2003 Our objective is to study the structure of subweakly periodic rings with a particular emphasis on conditions which imply that such rings are commutative or have a nil commutator ideal.
Amber Rosin, Adil Yaqub
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An Introduction to i-Commutative Rings
MathematicsIn this paper, we introduce a new class of rings, called i-commutative rings, by extending the concept of commutative-like rings using idempotent elements.
Muhammad Saad +3 more
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