Cayley-type theorems for $g$-dimonoids

Armenian Journal of Mathematics

article

Marlen Yolchyan¹  Yuri Movsisyan¹ 

[1] Yerevan State University

关键词: g-dimonoid;    dimonoid;    act of set;    dialgebra;    morphism of acts;    (l;    r)-morphism of semigroup;   

DOI  :  10.52737/18291163-2020.12.3-1-14

学科分类：环境科学（综合）

来源: National Academy of Sciences of the Republic of Armenia

【 摘 要 】

In this paper we prove Cayley-type theorems for g-dimonoids using the left (right) acts of sets and concept of dialgebra.The concepts of a dimonoid and a dialgebra were introduced by Loday [1]. Dimonoids are a tool to study Leibniz algebras [1]. A dimonoid is a set with two binary associative operations satisfying certain additional identities. A dialgebra is a linear analogy of a dimonoid. The concept of a g-dimonoid (a generalized dimonoid) is introduced in [2]. The Cayley-type theorems for dimonoids are proved in [3].

【 授权许可】

CC BY