Results 11 to 20 of about 44,592 (230)

On generalized (g, h)-derivations of BH-algebras

Journal of Mathematics and Computer Science, 2021
The notion of BCK – algebras was proposed by Imai and Iseki in 1966. In the same year Iseki introduced the notion of BCI-algebras, which is generalization of BCKalgebras. Y.B. Jun, E.H. Roh and H.S. Kim defined the notion of BH-algebras.
P. Ganesan
semanticscholar   +1 more source

On certain functional equations related to Jordan *-derivations in semiprime *-rings and standard operator algebras

Pure Mathematics and Applications, 2018
The purpose of this paper is to investigate identities with Jordan *-derivations in semiprime *-rings. Let ℛ be a 2-torsion free semiprime *-ring. In this paper it has been shown that, if ℛ admits an additive mapping D : ℛ→ℛsatisfying either D(xyx) = D ...
M. Ashraf, B. Wani
semanticscholar   +1 more source

Surveys in Contemporary Mathematics: Cohomology of face rings, and torus actions [PDF]

, 2005
In this survey article we present several new developments of `toric topology' concerning the cohomology of face rings (also known as Stanley-Reisner algebras).
T. Panov
semanticscholar   +1 more source

Multiplicative Jordan triple semi-derivations on rings and standard operator algebras

Annals of Mathematics and Computer Science
In this paper we study the additivity of multiplicative Jordan triple semi-derivations on rings and standard operator algebras.
João Carlos da Motta Ferreira, Maria das Graças Bruno Marietto   +1 more
semanticscholar   +1 more source

Monoid algebras and graph products [PDF]

The Art of Discrete and Applied Mathematics
In this note, we extend results about unique $n^{\textrm{th}}$ roots and cancellation of finite disconnected graphs with respect to the Cartesian, the strong and the direct product, to the rooted hierarchical products, and to a modified lexicographic ...
Wilfried Imrich, Igor Klep, Daniel Smertnig   +2 more
semanticscholar   +1 more source

Multiplicative Jordan triple higher semi-derivations on rings and standard operator algebras

Annals of Mathematics and Computer Science
In this paper we study the additivity of multiplicative Jordan triple higher semi-derivations on rings and standard operator algebras.
João Carlos da Motta Ferreira, Maria das Graças Bruno Marietto   +1 more
semanticscholar   +1 more source

Rings That Are Morita Equivalent to Their Opposites

, 2015
We consider the following problem: Under what assumptions do one or more of the following are equivalent for a ring $R$: (A) $R$ is Morita equivalent to a ring with involution, (B) $R$ is Morita equivalent to a ring with an anti-automorphism, (C) $R$ is ...
First, Uriya A.
core   +1 more source

Hochschild cohomology of group extensions of quantum symmetric algebras [PDF]

, 2010
Quantum symmetric algebras (or noncommutative polynomial rings) arise in many places in mathematics. In this article we find the multiplicative structure of their Hochschild cohomology when the coefficients are in an arbitrary bimodule algebra. When this
Communicated Martin Lorenz, Deepak Naidu, Piyush Shroff, Sarah Witherspoon   +3 more
core   +3 more sources

Lie Properties of Restricted Enveloping Algebras

, 2015
Let L be a restricted Lie algebra over a field of positive characteristic. We survey the known results about the Lie structure of the restricted enveloping algebra u(L) of L. Related results about the structure of the group of units and the symmetric and
Siciliano, Salvatore, Usefi, Hamid
core   +1 more source

Multiscale Cell–Cell Interactive Spatial Transcriptomics Analysis

Advanced Science, EarlyView.
In this study, we present the MultiScale Cell‐Cell Interactive Spatial Transcriptomics Analysis method, which unites the strengths of spatially resolved deep learning techniques with a topological representation of multi‐scale cell‐cell similarity relations.
Sean Cottrell, Guo‐Wei Wei
wiley   +1 more source