Results 11 to 20 of about 15,584 (255)
Gap-opening Planets Make Dust Rings Wider
The Astrophysical Journal, 2023 As one of the most commonly observed disk substructures, dust rings from high-resolution disk surveys appear to have different radial widths. Recent observations on PDS 70 and AB Aur reveal not only planets in the disk, but also the accompanying wide ...
Jiaqing Bi, Min-Kai Lin, Ruobing Dong
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Doily as Subgeometry of a Set of Nonunimodular Free Cyclic Submodules
Axioms, 2019 In this paper, it is shown that there exists a particular associative ring with unity of order 16 such that the relations between non-unimodular free cyclic submodules of its two-dimensional free left module can be expressed in terms of the structure of ...
Metod Saniga, Edyta Bartnicka
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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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Journal of Algebraic Systems, 2023 We say a ring R with unity is left weakly Baer if the left annihilatorof any nonempty subset of R is right s-unital by right semicentral idempotents,which implies that R modulo the left annihilator of any nonempty subset isflat.
S. Mehralinejadian +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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The unity in rings with Gabriel and Krull dimension [PDF]
Proceedings of the American Mathematical Society, 1976 The main result is that all rings with right Krull dimension and divisible torsion free additive group have a right identity. Furthermore it will be proved that a simple ring with characteristic 0 0
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On The Roots of Unity in Several Complex Neutrosophic Rings
Neutrosophic Sets and Systems, 2023 Roots of unity play a basic role in the theory of algebraic extensions of fields and rings. The aim of this paper is to obtain an algorithm to find all n-th roots of unity in five different kinds of neutrosophic complex rings, where many theorems and examples will be illustrated and suggested.
Djamal Lhiani +3 more
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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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