Results 251 to 260 of about 1,070 (271)

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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On distributive modules and rings

Resultate Der Mathematik, 2013
MIGUEL Ferrero
exaly  

Distributive modules and rings and their close analogs

Journal of Mathematical Sciences, 1999
A A Tuganbaev, Mikhalev A V, Tuganbaev A A   +2 more
exaly  

Distributive semigroup rings and related topics

Journal of Mathematical Sciences, 1999
A A Tuganbaev, Tuganbaev A A
exaly  

Distributive rings of continuous functions and F-spaces

Mathematical Notes, 1983
E M Vechtomov, Vechtomov E M
exaly