Results 31 to 40 of about 414,974 (297)
The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras
Доповiдi 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
Quotient rings satisfying some identities
Cubo, 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
, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core +1 more source
International 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
On the associated graded ring of a semigroup ring
Journal of Commutative Algebra, 2011 20 ...
D'ANNA, Marco +2 more
openaire +4 more sources
Discussiones Mathematicae - General Algebra and Applications, 2017 It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
doaj +1 more source
A Ring Associated with a Near-Ring
Journal of Algebra, 1996 Let \(N\) be a right abelian near-ring with identity. The set of all right multiplication maps on \(N\) generates a ring \(R\) which is a subring of \(\text{End}(N)\). The main results are the following ones: 1. If \(N\) is a finite near-field with center \(K\) and \(\dim_KN=n\), then \(R\) is isomorphic to \(M_n(K)^K\). 2.
openaire +2 more sources
Non-associative versions of Hilbert's basis theorem [PDF]
We prove several new versions of Hilbert’s basis theorem for non-associative Ore extensions, non-associative skew Laurent polynomial rings, non-associative skew power series rings, and non-associative skew Laurent series rings.
Bäck, Per,, Richter, Johan,
core +3 more sources
Radical Classes Closed Under Products
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 This is a survey of what is known about Kurosh-Amitsur radical classes which are closed under direct products. Associative rings, groups, abelian groups, abelian ℓ-groups and modules are treated.
Gardner Barry
doaj +1 more source
, 1970 The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
core +5 more sources