Results 11 to 20 of about 2,330 (265)
Nonassociative Algebras, Rings and Modules over Them
The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with skew polynomials ...
Sergey Victor Ludkowski
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Gorenstein $n$-weak injective and Gorenstein $n$-weak flat modules under excellent extensions [PDF]
Let $R$ be an associative ring and let $n$ be a non-negative integer. In this paper, we consider $n$-super finitely presented, Gorenstein $n$-weak injective and Gorenstein $n$-weak flat modules under change of rings. For an excellent extension $
Mostafa Amini
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A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three
A hypothesis stated in [16] is confirmed for the case of associative rings. The answers to some questions posed in the mentioned paper are also given. The square subgroup of a completely decomposable torsion-free abelian group is described (in both cases
Woronowicz Mateusz
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Intuitionistic Fuzzy Normal subrings over a non-associative ring
N. Palaniappan et. al [20, 28] have investigated the concept of intuitionistic fuzzy normal subrings in associative rings.
Shah Tariq +2 more
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About unital and non-unital duo rings [PDF]
Several results about one-sided duo rings and duo rings are generalized from the case of unital rings to the case of arbitrary associative rings in this paper.
Mart Abel, Eva-Lotta Elmanovitš
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The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras
In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the automorphism groups of finite-dimensional cyclic Leibniz algebras. In particular, we consider
L.A. Kurdachenko +2 more
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Power-Associativity of Antiflexible Rings [PDF]
Conditions which force an antiflexible ring of characteristic p p to be power-associative are determined.
Celik, Hasan A., Outcalt, David L.
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On Generalized Derivations and Commutativity of Associative Rings
Let be a ring with center Z(). A mapping f : → is said to be strong commutativity preserving (SCP) on if [f (x), f (y)] = [x, y] and is said to be strong anti-commutativity preserving (SACP) on if f (x) ◦ f (y) = x ◦ y for all x, y ∈.
Sandhu Gurninder S. +2 more
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Quotient rings satisfying some identities
This paper investigates the commutativity of the quotient ring \(\mathcal{R}/P\), where \(\mathcal{R}\) is an associative ring with a prime ideal \(P\), and the possibility of forms of derivations satisfying certain algebraic identities on \(\mathcal{R}\)
Mohammadi El Hamdaoui, Abdelkarim Boua
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In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras. In the present paper we extend this result to semiprime associative superalgebras.
Maja Fošner
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