Results 11 to 20 of about 15,241 (255)
The Distant Graph of the Projective Line Over a Finite Ring with Unity [PDF]
Results in Mathematics, 2017 We discuss the projective line $\mathbb{P}(R)$ over a finite associative ring with unity. $\mathbb{P}(R)$ is naturally endowed with the symmetric and anti-reflexive relation "distant". We study the graph of this relation on $\mathbb{P}(R)$ and classify up to isomorphism all distant graphs $G(R, )$ for rings $R$ up to order $p^5$, $p$ prime.
Bartnicka, Edyta, Matraś, Andrzej
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K-THEORY FOR RING C*-ALGEBRAS: THE CASE OF NUMBER FIELDS WITH HIGHER ROOTS OF UNITY [PDF]
Journal of Topology and Analysis, 2012 We compute K-theory for ring C*-algebras in the case of higher roots of unity and thereby completely determine the K-theory for ring C*-algebras attached to rings of integers in arbitrary number fields.
Li, Xin, Lück, Wolfgang
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Journal of Physics: Conference Series, 2019 AbstractResearch on graph associated with a finite algebraic structure has attracted many attentions. On the other hand, eccentric connectivity index is an interesting topic and many studies have been reported. For simple connected graphG, lete(v) denoted the eccentricity of vertexvanddeg(v) denoted the degree of vertexvinG.
Abdussakir, Abdussakir +3 more
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Continuous functions with compact support
Applied General Topology, 2004 The main aim of this paper is to investigate a subring of the ring of continuous functions on a topological space X with values in a linearly ordered field F equipped with its order topology, namely the ring of continuous functions with compact support ...
Sudip Kumar Acharyya +2 more
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Classification of Rings with Toroidal and Projective Coannihilator Graph
Journal of Mathematics, 2021 Let S be a commutative ring with unity, and a set of nonunit elements is denoted by WS. The coannihilator graph of S, denoted by AG′S, is an undirected graph with vertex set WS∗ (set of all nonzero nonunit elements of S), and α∼β is an edge of AG′S⇔α∉αβS
Abdulaziz M. Alanazi +2 more
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A commutativity theorem for left s-unital rings
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper we generalize some well-known commutativity theorems for associative rings as follows: Let R be a left s-unital ring. If there exist nonnegative integers m>1, k≥0, and n≥0 such that for any x, y in R, [xky−xnym,x]=0, then R is commutative.
Hamza A. S. Abujabal
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On commutativity of one-sided s-unital rings
International Journal of Mathematics and Mathematical Sciences, 1992 The following theorem is proved: Let r=r(y)>1, s, and t be non-negative integers. If R is a left s-unital ring satisfies the polynomial identity [xy−xsyrxt,x]=0 for every x,y∈R, then R is commutative. The commutativity of a right s-unital ring satisfying
H. A. S. Abujabal, M. A. Khan
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Nonessential sum graph of an Artinian ring [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – The authors study the interdisciplinary relation between graph and algebraic structure ring defining a new graph, namely “non-essential sum graph”.
Bikash Barman, Kukil Kalpa Rajkhowa
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Commutativity theorems for rings with constraints on commutators
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper, we generalize some well-known commutativity theorems for associative rings as follows: Let n>1, m, s, and t be fixed non-negative integers such that s≠m−1, or t≠n−1, and let R be a ring with unity 1 satisfying the polynomial identity ys[xn,
Hamza A. S. Abujabal
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On some properties of polynomials rings
International Journal of Mathematics and Mathematical Sciences, 1987 For a commutative ring with unity R, it is proved that R is a PF-ring if and only if the annihilator, annR(a), for each a ϵ R is a pure ideal in R, Also it is proved that the polynomial ring, R[X], is a PF-ring if and only if R is a PF-ring.
H. Al-Ezeh
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