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Distributive Near-Rings with Minimal Square

, 1987
Abstract There exist many examples of distributive near-rings such that their square generates a minimal left N-subgroup of N. Here it is shown that a near-ring belongs to this class if and only if it is the semi-direct sum of a zero near-ring and a skew-field.
S. Di Sieno, S. De Stefano
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Rings with flat right ideals and distributive rings

Mathematical Notes, 1985
A ring \(R\) is called distributive if the lattice of right ideals as well as the lattice of left ideals of \(R\) is distributive. The main result of this paper is a generalization of \textit{C. U. Jensen}'s result [Proc. Am. Math. Soc. 15, 951-954 (1964; Zbl 0135.07902)] for commutative rings: Theorem. A semiprime ring \(R\) which is integral over its
A A Tuganbaev, Tuganbaev A A
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Distributive rings of series

Mathematical Notes, 1986
The aim of this paper is to prove the following result: ''Let A be an associative ring with a nonzero unity and \(\phi\) an automorphism of the ring A. The following assertions are equivalent for the ring \(R=A[[ X,\phi ]]:\) (1) the ring R is right distributive; (2) R is a right Bezout ring, and all the maximal right ideals of the ring A are ideals in
A A Tuganbaev, Tuganbaev A A
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Distributive multiplication rings

Periodica Mathematica Hungarica, 1992
A ring \(R\) is said to be a left \(n\)-distributive multiplication ring if \(aa_ 1\dots a_ n=aa_ 1aa_ 2\dots aa_ n\) for all \(a,a_ 1,\dots,a_ n\in R\) (\(n\geq 2\)). If this is so, then the set \(N\) of nilpotent elements is an ideal of \(R\), \(N^{n+1}=0\) and \(R/N\) is a semiprime ring satisfying \(x^ n=x\).
S Feigelstock, R Raphaël
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On Bezout and distributive generalized power series rings

Journal of Algebra, 2006
In this paper we give sufficient and necessary conditions on a strongly regular ring of coefficients R and a monoid of nonnegative exponents S such that the generalized power series ring R〚S〛 is right Bezout.
R Mazurek
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Self-duality of quasi-Harada rings and locally distributive rings

Journal of Algebra, 2006
Recently Y. Baba [Y. Baba, On self-duality of Auslander rings of local serial rings, Comm. Algebra 30 (6) (2002) 2583–2592] proved that certain quasi-Harada rings have a self-duality.
Kazutoshi Koike, Koike, Kazutoshi
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Distributed termination on a ring

BIT, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heikki Saikkonen, Stefan Rönn
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On distributive modules and rings

Results in Mathematics, 2003
Let \(R\) be an associative ring with identity element. A right \(R\)-module \(M\) is said to be `distributive' if its lattice of submodules is distributive. G. M. Brodski proved in 1997 that \(M\) is distributive if and only if \(M\) has no subfactors of the form \(K\oplus N\), where \(K\) and \(N\) are isomorphic nonzero modules.
Ferrero, Miguel, Sant'Ana, Alveri
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Hereditary and Semiperfect Distributive Rings

Algebra Colloquium, 2006
A ring R is called right distributive if its lattice of right ideals is distributive. In this paper, we investigate distributive rings. We prove that if a ring R is right hereditary, then R is right distributive if and only if R is weakly right duo. We also prove that right semiperfect right distributive rings are right quasi-continuous.
Hong, Chan Yong, Kim, Nam Kyun, Lee, Yang   +2 more
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Distributed exploration of dynamic rings

Distributed Computing, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Di Luna G, Dobrev S, Flocchini P, Santoro N   +3 more
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