Results 261 to 270 of about 2,278 (280)

Distributive and Multiplication Modules and Rings

Mathematical Notes, 2004
All rings are assumed to be associative and to have non-zero identity. An \(A\)-module \(M\) is called a: (i) distributive module (for brevity, d-module) if the lattice of its submodules is distributive; (ii) multiplication module (for brevity, m-module) if for every submodule \(N\) of \(M\) there exists an ideal \(B\) of \(A\) such that \(N=MB\).
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Rings of elementary divisors and distributive rings

Russian Mathematical Surveys, 1991
See the review in Zbl 0767.16001.
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Structure of distributive rings

Sbornik: Mathematics, 2002
The study of distributive rings in which all divisors of zero belong to the Jacobson radical is reduced to the study of distributive orders in division rings and uniserial rings with invertible non-divisors of zero.
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The distribution of ideals in a number ring

1977
We are going to exploit the geometric methods of chapter 5 to establish results about the distribution of the ideals of a number ring R. In a sense to be made precise shortly, we will show that the ideals are approximately equally distributed among the ideal classes, and the number of ideals with ‖I‖ ≤ t, t ≥ 0, is approximately proportional to t.
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Rings of endomorphisms and distributivity

Mathematical Notes, 1994
The ring of endomorphisms \(R= \text{End}(M_A)\) of a distributive module \(M_A\) is studied. If \(T\) is the set of all nilpotent elements of \(R\), then \(T\) is a nil-subring of \(R\) and \(T\subseteq F(M)\cap G(M)\cap J(R)\), where \(F(M)= \{f\in R\mid \text{Im } f\) is small in \(M_A\}\), \(G(M)= \{f\in R\mid \text{Ker } f\) is essential in \(M_A\}
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Distributively decomposable rings

Russian Mathematical Surveys, 1996
Using some preliminary facts (Lemmas 1 and 2) on idempotents of rings and relations between the rings \(A\) and \(eAe\) (\(e^2=e\)), the following main result is proved. (Some results on distributive and semidistributive rings are mentioned as remarks.) Theorem. Let \(A\) be a distributively decomposable ring (i.e.
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Distributive modules and rings

Russian Mathematical Surveys, 1984
Let R be an associative ring with identity. A right R module M is said to be distributive if its lattice of submodules is a distributive lattice. Distributive modules have been studied under a different name - arithmetical modules - by the reviewer and \textit{C. Năstăsescu} [in Acta Math. Acta Sci. Hung. 25, 299-311 (1974; Zbl 0298.13010)]. The ring R
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DISTRIBUTIVE NEAR-RINGS

The Quarterly Journal of Mathematics, 1973
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Distributive modules and Armendariz modules

Journal of the Mathematical Society of Japan, 2015
Yiqiang Zhou, Michał Ziembowski
exaly  

Left and right distributive rings

Mathematical Notes, 1995
A A Tuganbaev, Tuganbaev A A
exaly