Results 311 to 320 of about 11,317,036 (365)
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Torsion subgroups, solvability and the Engel condition in associative rings
RACSAM, 2022The connections between the properties of associative rings that are Lie-solvable (Engel, n-Engel, locally finite, respectively) and the properties of their adjoin subgroups are investigated.
O. Artemovych, V. Bovdi
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Journal of Soviet Mathematics, 1987
Translation from Itogi Nauki Tekh., Ser. Algebra, Topologiya, Geom. 22, 3--115 (Russian) (1984; Zbl 0564.16002).
Beĭdar, K. I. +5 more
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Translation from Itogi Nauki Tekh., Ser. Algebra, Topologiya, Geom. 22, 3--115 (Russian) (1984; Zbl 0564.16002).
Beĭdar, K. I. +5 more
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Journal of Mathematical Sciences, 2005
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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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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, 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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Associative rings with large center
Journal of Mathematical Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ASSOCIATED GRADED RINGS OF NUMERICAL SEMIGROUP RINGS
Communications in Algebra, 2001In 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, 1953Let 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, 2003A 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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