Results 211 to 220 of about 1,388 (255)
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Distributive rings and modules
Mathematical Notes, 1990See the review in Zbl 0697.16030.
A A Tuganbaev, Tuganbaev A A
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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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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
A A Tuganbaev
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Endomorphisms of distributive modules
Russian Mathematical Surveys, 1995 This notice contains some results on distributive modules and their endomorphism rings. In particular: (1) If \(M_R=M_1\oplus\cdots\oplus M_n\) is a quasi-injective module and \(M_i\) (\(i=1,\dots,n\)) are distributive modules, then \(\text{End}(M_R)\) is a left semidistributive ring; (2) Suppose that all 2-generated submodules of \(M_R\) are \(\pi ...
A A Tuganbaev
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Flat modules and distributive rings
Journal of Mathematical Sciences, 1999This article is a continuation of a series of surveys on distributive and semidistributive rings and modules [\textit{A. V. Mikhalev, A. A. Tuganbaev}, J. Math. Sci., New York 93, No.~2, 149-253 (1999; Zbl 0928.16003); ibid. 94, No.~6, 1809-1887, 1888-1924 (1999; Zbl 0936.16007)]. This time in the focus of attention are flat modules, distributive rings,
A A Tuganbaev, Tuganbaev A A
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Cyclically decomposable distributive modules
Communications in Algebra, 1997Let R be a ring and M an R-module. Then M is said to be distributive if the lattice of submodules of M is distributive. We determine the structure of distributive modules, and show that in certain cases a distributive module is either cyclic or is a direct sum of cyclic submodules.
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Plane modules and distributive rings
Ukrainian Mathematical Journal, 1993 Let A be a semi-primary ring entire over its center. We prove that the following conditions are equivalent: a) A is a ring distributive from the left (right), b) w. gl. dim (A) ≤ 1.
A A Tuganbaev, Tuganbaev A A
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Modules with locally linearly ordered distributive hulls
Journal of Pure and Applied Algebra, 1987 Let R be a commutative ring with identity and M, N are R-modules with M ⊆ N. Then M ⊆ N is said to be distributive if M∩(X + Y)=(M ∩ Y) + (M ∩ Y), for all submodules, X, Y of N.
Erdoǧdu, V.
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Multiplication modules which are distributive
Journal of Pure and Applied Algebra, 1988 We prove results which include necessary and sufficient conditions for a multiplication module to be ...
ERDOGDU, V +3 more
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