Results 31 to 40 of about 78,123 (278)

Study of Additively Regular Г -Semirings and Derivations

Discussiones Mathematicae - General Algebra and Applications, 2022
In this paper, the notions of commutator and derivation in additively regular -semirings with (A2, Г)-condition are introduced. We also characterize Jordan product for additively regular Г -semiring and establish some results which investigate the ...
Dadhwal Madhu, Neelam
doaj   +1 more source

Two-Local derivations on associative and Jordan matrix rings over commutative rings

, 2017
In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative ring.
Arzikulov, Farhodjon, Ayupov, Shavkat
core   +1 more source

On Higher N-Derivation Of Prime Rings

مجلة بغداد للعلوم, 2014
The main purpose of this work is to introduce the concept of higher N-derivation and study this concept into 2-torsion free prime ring we proved that:Let R be a prime ring of char.
Baghdad Science Journal
doaj   +1 more source

Note on differential identities on -prime rings with involution

Mathematics Open, 2023
The major goal of this paper is to investigate the structure of [Formula: see text]-prime rings with involution, satisfying certain [Formula: see text]-differential identities involving [Formula: see text]-centralizing and some special type of products ...
M. A. Madni, M. R. Mozumder, W. Ahmed, A. Abbasi, A. Ramesh   +4 more
doaj   +1 more source

Nearly generalized Jordan derivations [PDF]

Mathematica Slovaca, 2011
Abstract Let A be an algebra and let X be an A-bimodule. A ∂-linear mapping d: A → X is called a generalized Jordan derivation if there exists a Jordan derivation (in the usual sense) δ: A → X such that d(a 2) = ad(a)+δ(a)a for all a ∈ A.
Eshaghi Gordji, M., Ghobadipour, N.
openaire   +2 more sources

The Unipotency of Linear Groups Generated by Matrices with No More than Five Jorden Blocks

Journal of Harbin University of Science and Technology, 2022
Aiming at the question whether the group generated by two unipotent matrices whose Jordan blocks are of order no more than five is a unipotent group, based on the fundamental definition of nilpotent matrix, we use the matrix logarithm tool to obtain some
YANG Xin-song, LI Jia-xin
doaj   +1 more source

Integrations on rings

Open Mathematics, 2017
In calculus, an indefinite integral of a function f is a differentiable function F whose derivative is equal to f. The main goal of the paper is to generalize this notion of the indefinite integral from the ring of real functions to any ring.
Banič Iztok
doaj   +1 more source

Commutativity of a 3-Prime near Ring Satisfying Certain Differential Identities on Jordan Ideals

Mathematics, 2020
The purpose of this study is to obtain the commutativity of a 3-prime near ring satisfying some differential identities on Jordan ideals involving derivations and multiplicative derivations.
Asma Ali, Inzamam ul Huque
doaj   +1 more source

A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras

Journal of Mathematics, 2021
In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
doaj   +1 more source

Nonlinear Skew Lie-Type Derivations on ∗-Algebra

Mathematics, 2023
Let A be a unital ∗-algebra over the complex fields C. For any H1,H2∈A, a product [H1,H2]•=H1H2−H2H1* is called the skew Lie product. In this article, it is shown that if a map ξ : A→A (not necessarily linear) satisfies ξ(Pn(H1,H2,…,Hn))=∑i=1nPn(H1,…,Hi ...
Md Arshad Madni, Amal S. Alali, Muzibur Rahman Mozumder   +2 more
doaj   +1 more source