Results 261 to 270 of about 414,974 (297)
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On rings asymptotically close to associative rings
Siberian Advances in Mathematics, 2007Summary: The subject of this work is an extension of A. R. Kemer's results to a rather broad class of rings close to associative rings, over a field of characteristic 0 (in particular, this class includes the varieties generated by finite-dimensional alternative and Jordan rings).
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ON THE ASSOCIATED GRAPHS TO A COMMUTATIVE RING
Journal of Algebra and Its Applications, 2012Let R be a commutative ring with nonzero identity. For an arbitrary multiplicatively closed subset S of R, we associate a simple graph denoted by Γ S (R) with all elements of R as vertices, and two distinct vertices x, y ∈ R are adjacent if and only if x+y ∈ S.
Barati, Z. +3 more
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Vnr-GRAPHS ASSOCIATED WITH RINGS
JP Journal of Algebra, Number Theory and Applications, 2017Summary: Let \(R\) be a finite commutative ring with nonzero identity. The Vnr-graph of \(R\), denoted by \(G_{Vnr^\times}(R)\) has its set of vertices equal to the set of all elements of \(R\); distinct vertices \(x\) and \(y\) are adjacent if and only if \(xy\) is a von Neumann regular element of \(R\).
Taloukolaei, Ali Jafari, Sahebi, Shervin
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Veldsman’s classes of associative rings
Acta Mathematica Hungarica, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nowakowska, M., Puczyłowski, E. R.
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MULTIPLICATIVE CLASSIFICATION OF ASSOCIATIVE RINGS
Mathematics of the USSR-Sbornik, 1989See the review in Zbl 0645.16024.
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Associative rings with large center
Journal of Mathematical Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Associativity of the ∇-operation on bands in rings
Semigroup Forum, 2007Given a multiplicative band of idempotents S in a ring R, for all e,f∈S the ∇-product e ∇ f=e+f+fe−efe−fef is an idempotent that lies roughly above e and f in R just as ef and fe lie roughly below e and f.
Cvetko-Vah, Karin, Leech, Jonathan
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On rings with associated elements
Communications in Algebra, 2016ABSTRACTA principal right ideal of a ring is called uniquely generated if any two elements of the ring that generate the same principal right ideal must be right associated (i.e., if for all a,b in a ring R, aR = bR implies a = bu for some unit u of R).
Sahinkaya, Serap +2 more
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On rings of certain type associated with simple ring-extensions
Mathematical Journal of Okayama University, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Oda, Susumu +2 more
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