Results 31 to 40 of about 1,881,139 (280)

On the derivations of Leibniz algebras of low dimension

Доповiдi Нацiональної академiї наук України, 2023
Let L be an algebra over a field F. Then L is called a left Leibniz algebra if its multiplication operations [×, ×] addition- ally satisfy the so-called left Leibniz identity: [[a,b],c] = [a,[b,c]] – [b,[a,c]] for all elements a, b, c Î L. In this paper,
L.A. Kurdachenko, M.M. Semko, V.S. Yashchuk   +2 more
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On the derivations of cyclic Leibniz algebras

Karpatsʹkì Matematičnì Publìkacìï, 2022
Let $L$ be an algebra over a field $F$. Then $L$ is called a left Leibniz algebra, if its multiplication operation $[-,-]$ additionally satisfies the so-called left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. A linear
M.M. Semko, L.V. Skaskiv, O.A. Yarovaya
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MODULE LEFT (m, n)-DERIVATIONS

The Pure and Applied Mathematics, 2017
Yinhua Cui, Dong Yun Shin
exaly   +3 more sources

The left adjoint of derived parabolic induction

Mathematische Zeitschrift, 2023
AbstractWe prove that the derived parabolic induction functor, defined on the unbounded derived category of smooth mod p representations of a p-adic reductive group, admits a left adjoint $$\textrm{L}(U,-)$$ L ( U , -
openaire   +3 more sources

On derivations of pseudo L-algebras [PDF]

Journal of Mahani Mathematical Research
In this article, the focus is on the study of derivations on two types of algebraic structures: pseudo L-algebras and pseudo CKL-algebras. For pseudo L-algebras, the notions of left and right derivations are introduced.
Yu Qian Guo, Xiao Long Xin
doaj   +1 more source

On the commutativity of quotient near-rings under specific identities [PDF]

Arab Journal of Mathematical Sciences
PurposeThe purpose of this paper is to investigate the commutativity of quotient near-rings endowed with a left derivation and a multiplier satisfying specific differential algebraic identities, and to clarify the role of the 3-prime condition in this ...
Slimane El Amrani, Abderrahmane Raji
doaj   +1 more source

Asymptotic aspect of derivations in Banach algebras

Journal of Inequalities and Applications, 2017
We prove that every approximate linear left derivation on a semisimple Banach algebra is continuous. Also, we consider linear derivations on Banach algebras and we first study the conditions for a linear derivation on a Banach algebra.
Jaiok Roh, Ick-Soon Chang
doaj   +1 more source

On Jordan ideals with generalized left derivations in 3-prime Near-rings [PDF]

, 2023
In this paper, we will extend some results on the commutativity of Jordan ideals proved in [8] and [5]. However, instead of left generalized derivations, we will consider generalized left derivations, which are sufficient to obtain good results with ...
Raji, Abderrahmane, En-Guady, Adel, Boua, Abdelkarim   +2 more
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Jordan derivations of polynomial rings

Karpatsʹkì Matematičnì Publìkacìï, 2012
We study connections between the set of Jordan derivations of a ring $R$ and the sets of Jordan derivations of a polynomial ring $R[x_1,\dots,x_n]$ and  formal power series ring $R[[x_1,\dots,x_n]]$. We also establish a condition when $JDer R$ is a left $
I. I. Lishchynsky
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On Generalized Permuting Left 3-Derivations of Prime Rings [PDF]

Engineering and Technology Journal, 2017
-Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting.
A. K. Faraj, S. J. Shareef
doaj   +1 more source