scholarly journals Gradings, Derivations, and Automorphisms of Nearly Associative Algebras

1996 ◽  
Vol 179 (3) ◽  
pp. 732-750 ◽  
Author(s):  
Jeffrey Bergen ◽  
Piotr Grzeszczuk
Keyword(s):  
Associative Algebras

scholarly journals Total Differentiability and Monogenicity for Functions in Algebras of Order 4

2021 ◽  
Vol 15 (2) ◽  
Author(s):  
I. Sabadini ◽  
D. C. Struppa
Keyword(s):  
Analytic Functions ◽  
Associative Algebras ◽  
Basic Tool ◽  
Algebraic Analysis ◽  
Italian School ◽  
Relevant Role

AbstractIn this paper we discuss some notions of analyticity in associative algebras with unit. We also recall some basic tool in algebraic analysis and we use them to study the properties of analytic functions in two algebras of dimension four that played a relevant role in some work of the Italian school, but that have never been fully investigated.

Compatible O-operators on bimodules over associative algebras

2019 ◽  
Vol 532 ◽  
pp. 80-118 ◽  
Author(s):  
Jiefeng Liu ◽  
Chengming Bai ◽  
Yunhe Sheng
Keyword(s):  
Associative Algebras

scholarly journals Finite Z-gradings of simple associative algebras

2006 ◽  
Vol 207 (3) ◽  
pp. 619-630 ◽  
Author(s):  
Mercedes Siles Molina
Keyword(s):  
Associative Algebras

scholarly journals Gröbner–Shirshov bases for pre-associative algebras

2017 ◽  
Vol 45 (12) ◽  
pp. 5283-5296 ◽  
Author(s):  
Pavel Kolesnikov
Keyword(s):  
Associative Algebras

Varieties satisfying semigroup identities: Algebras over a finite field and rings

2016 ◽  
Vol 26 (05) ◽  
pp. 985-1017
Author(s):  
Olga B. Finogenova
Keyword(s):  
Finite Field ◽  
Associative Algebras ◽  
Adjoint Semigroup ◽  
Semigroup Identities ◽  
Associative Rings

We study varieties of associative algebras over a finite field and varieties of associative rings satisfying semigroup or adjoint semigroup identities. We characterize these varieties in terms of “forbidden algebras” and discuss some corollaries of the characterizations.

scholarly journals VARIETIES OF REPRESENTATIONS OF GROUPS AND VARIETIES OF ASSOCIATIVE ALGEBRAS

2011 ◽  
Vol 21 (07) ◽  
pp. 1149-1178 ◽  
Author(s):  
ELENA ALADOVA ◽  
BORIS PLOTKIN
Keyword(s):  
General Theory ◽  
Group Representations ◽  
Associative Algebras ◽  
Open Problems ◽  
Representations Of Groups ◽  
Main Emphasis

This paper is tightly connected with the book [Varieties of Group Representations. General Theory, Connections and Applications (Zinatne, Riga, 1983) (in Russian)]. In the paper we prove new results in the spirit of the above-mentioned book. They are related to dimension subgroups, varieties of representations of groups and varieties of associative algebras. The main emphasis is put on the varieties of representations of groups induced by the varieties of associative algebras. We provide the reader with the list of open problems. For many reasons we consciously included in the text a brief review of the basic definitions and results from the theory of varieties of representations described in the book [Varieties of Group Representations. General Theory, Connections and Applications].

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