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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
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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
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Good tilting modules and recollements of derived module categories [PDF]
, 2010 Let $T$ be an infinitely generated tilting module of projective dimension at most one over an arbitrary associative ring $A$, and let $B$ be the endomorphism ring of $T$.
Chen, Hongxing, Xi, Changchang
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PI theory for Associative Pairs [PDF]
, 2019 We extend the classical associative PI-theory to Associative Pairs, and in doing so, we introduce related notions already present for algebras (and Jordan systems) as the ones of PI-element and PI-ideal, extended centroid and central ...
Montaner, F., Paniello, I.
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On Non-Associative Rings [PDF]
Mathematics and Statistics, 2021 Jordan ring is one example of the non-associative rings. We can construct a Jordan ring from an associative ring by defining the Jordan product. In this paper, we discuss the properties of non-associative rings by studying the properties of the Jordan rings.
Ida Kurnia Waliyanti +2 more
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On Generalized Derivations and Commutativity of Associative Rings
Discussiones 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
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Simple Rings and Degree Maps [PDF]
, 2013 For an extension A/B of neither necessarily associative nor necessarily unital rings, we investigate the connection between simplicity of A with a property that we call A-simplicity of B.
Nystedt, Patrik, Öinert, Johan
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Complete homology over associative rings [PDF]
Israel Journal of Mathematics, 2017 We compare two generalizations of Tate homology: stable homology and the J-completion of Tor, also known as complete homology. For finitely generated modules, we show that the two theories agree over Artin algebras and over commutative noetherian rings that are Gorenstein, or local and complete.
Celikbas, Olgur +3 more
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, 2010 In this paper we study the notion of Smarandache loops. We obtain some interesting results about them. The notion of Smarandache semigroups homomorphism is studied as well in this paper.
Vasantha Kandasamy, W. B.
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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
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