Results 11 to 20 of about 2,330 (265)

Nonassociative Algebras, Rings and Modules over Them

open access: yesMathematics, 2023
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
doaj   +1 more source

Gorenstein $n$-weak injective and Gorenstein $n$-weak flat modules under‎ ‎excellent extensions [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
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
doaj   +1 more source

A Note on the Square Subgroups of Decomposable Torsion-Free Abelian Groups of Rank Three

open access: yesAnnales Mathematicae Silesianae, 2018
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
doaj   +1 more source

Intuitionistic Fuzzy Normal subrings over a non-associative ring

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012
N. Palaniappan et. al [20, 28] have investigated the concept of intuitionistic fuzzy normal subrings in associative rings.
Shah Tariq   +2 more
doaj   +1 more source

About unital and non-unital duo rings [PDF]

open access: yesProceedings of the Estonian Academy of Sciences
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
doaj   +1 more source

The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras

open access: yesДоповiдi Нацiональної академiї наук України, 2022
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
doaj   +1 more source

Power-Associativity of Antiflexible Rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Conditions which force an antiflexible ring of characteristic p p to be power-associative are determined.
Celik, Hasan A., Outcalt, David L.
openaire   +2 more sources

On Generalized Derivations and Commutativity of Associative Rings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
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
doaj   +1 more source

Quotient rings satisfying some identities

open access: yesCubo, 2023
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
doaj   +1 more source

Jordan superderivations. II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
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
doaj   +1 more source

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