Results 241 to 250 of about 40,225 (280)

E-Associative Rings

Canadian Mathematical Bulletin, 1993
AbstractA ring R is E-associative if φ(xy) = φ(x)y for all endomorphisms φ of the additive group of R, and all x,y ∊ R. Unital E-associative rings are E-rings. The structure of the torsion ideal of an E-associative ring is described completely. The E-associative rings with completely decomposable torsion free additive groups are also classified ...
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Vnr-GRAPHS ASSOCIATED WITH RINGS

JP Journal of Algebra, Number Theory and Applications, 2017
Summary: 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, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nowakowska, M., Puczyłowski, E. R.
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Associative rings with large center

Journal of Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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MULTIPLICATIVE CLASSIFICATION OF ASSOCIATIVE RINGS

Mathematics of the USSR-Sbornik, 1989
See the review in Zbl 0645.16024.
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Lower Radicals in Associative Rings

Canadian Journal of Mathematics, 1969
Given a homomorphically closed class of (not necessarily associative) rings , the lower radical property determined by is the least radical property for which all rings in are radical. Recently (7) a process of constructing the lower radical property from a class of associative rings has been given which terminates after a countable number of steps.
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On rings asymptotically close to associative rings

Siberian Advances in Mathematics, 2007
Summary: 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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ASSOCIATED GRADED RINGS OF NUMERICAL SEMIGROUP RINGS

Communications in Algebra, 2001
In this paper we examine the associated graded ring of R = k[t a1, …, tan ] m , where m is the homogeneous maximal ideal. We give necessary and sufficient conditions for the associated graded ring of R to be Cohen-Macaulay in the case where the embedding dimension is three and sufficient conditions for larger embedding dimension.
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Commutators in associative rings

Mathematical Proceedings of the Cambridge Philosophical Society, 1953
Let R be an arbitrary associative ring, and X a set of generators of R. The elements of X generate a Lie ring, [X], say, with respect to the addition and subtraction in R, and the multiplication [a, b] = ab − ba. In this note we shall be concerned with the following question: if [X] is given to be nilpotent as a Lie ring, what does this imply about R?
Drazin, M. P., Gruenberg, K. W.
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Ring unidirectional associative memories

[Proceedings] 1992 IEEE International Symposium on Circuits and Systems, 2003
A novel architecture for associative memories, called ring unidirectional associative memories (RUAM), which can be used to store a number of pattern sequences, is presented. The RUAM could be used to recover learned pattern sequences from their noisy versions.
H.K. Kwan, Y. Yang
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