Results 241 to 250 of about 2,278 (280)
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Distributive and Semihereditary Rings
Journal of Mathematical Sciences, 2005Let \(A\) be an associative ring with non-zero identity element, \(M\) be a right \(A\)-module, and \(n\) be a positive integer. The module \(M\) is called \(n\)-injective if for any \(n\)-generated right ideal \(B\) of \(A\) every homomorphism \(B_A\to M_A\) can be extended to a homomorphism \(A_A\to M_A\).
A A Tuganbaev, Tuganbaev A A
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Distributively generated rings and distributive modules
Mathematical Notes, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A A Tuganbaev, Tuganbaev A A
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Mathematical Notes, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A A Tuganbaev, Tuganbaev A A
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A A Tuganbaev, Tuganbaev A A
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Distributive multiplication rings
Periodica Mathematica Hungarica, 1992A 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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Distributive rings and modules
Mathematical Notes, 1990See the review in Zbl 0697.16030.
A A Tuganbaev, Tuganbaev A A
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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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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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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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Rings with flat right ideals and distributive rings
Mathematical Notes, 1985A 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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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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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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