Results 11 to 20 of about 16,962 (297)
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
F. Hansen
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Two properties of the power series ring [PDF]
International Journal of Mathematics and Mathematical Sciences, 1988 For a commutative ring with unity, A, it is proved that the power series ring A〚X〛 is a PF-ring if and only if for any two countable subsets S and T of A such that S⫅annA(T), there exists c∈annA(T) such that bc=b for all b∈S.
H. Al-Ezeh
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Continuous functions with compact support [PDF]
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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An Identity in Commutative Rings with Unity with Applications to Various Sums of Powers [PDF]
Discrete Dynamics in Nature and Society, 2017 Let R=(R,+,·) be a commutative ring of characteristic m>0 (m may be equal to +∞) with unity e and zero 0. Given a positive integer n<m and the so-called n-symmetric set A=a1,a2,…,a2l-1,a2l such that al+i=ne-ai for each i=1,…,l, define the rth power sum Sr(A) as Sr(A)=∑i=12lair, for r=0,1,2,…. We prove that for each positive integer k there holds ∑
Miomir Andjić, Romeo Meštrović
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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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K-theory for ring c*-algebras: the case of number fields with higher roots of unity [PDF]
, 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 ...
Lück, Wolfgang, Li, Xin
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Convolutions with Unbounded Unity [PDF]
, 1991 On the set F of complex-valued arithmetic functions we construct an infinite family of convolutions, that is, binary operations ψ of the formso that (F, +, ψ) is a commutative ring, for which the unity is unbounded. Here + denotes pointwise addition.
V. Sitaramaiah, M. V. Subbarao
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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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