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Beck’s Coloring of Finite Product of Commutative Ring with Unity
Graphs and Combinatorics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The generalized Burnside ring and theK-theory of a ring with roots of unity
K-theory, 1992Let \(\ell\) be an odd prime and let \(p\neq\ell\) be a prime which generates the \(\ell\)-adic units. Let \(\zeta_ a\) be a primitive \(\ell^ a\)-th root of unity and let \(\mu\) be the group of \(\ell\)-primary roots of unity in \(\mathbb{Z}[\zeta_ a]\). Then there is a natural map \(h: Q_ 0(B\mu_ +)\to\text{BGL}(\mathbb{Z}[\zeta_ a])^ +\), where \(B\
W G Dwyer
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The Wiener index of the zero-divisor graph of a finite commutative ring with unity
Discrete Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K Selvakumar, G Arunkumar
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The Unity of The Ring and the Book
1988From the time of its first publication, the form of The Ring and the Book has been its most widely discussed feature. This is hardly surprising, since there was no obvious precedent for its use of multiple narration of the same sequence of events by a variety of speakers.
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THE CODIVISOR GRAPH OF A FINITE RING WITH UNITY
Advances and Applications in Discrete Mathematics, 2023Anurag Baruah, Kuntala Patra
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Some Commutativity Conditions for Rings with Unity
Results in Mathematics, 1991Let \(R\) be a ring with 1. The following conditions are equivalent: 0) \(R\) is commutative. 1) There exists a non-negative integer \(m\) such that, given \(x,y\in R\), \(\{1-h(x^ m y)\}[x,x^ m y-f(yx^ m)]\cdot\{1- g(x^ my)\}=0\) for some \(f(X)\in X^ 2\mathbb{Z}[X]\) and \(g(X),h(X)\in XZ[X]\).
Komatsu, Hiroaki, Tominaga, Hisao
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