Cayley-type theorems for $g$-dimonoids

[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].

[学科分类] 环境科学（综合）

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