Dimodules
Authors : Ertuğrul Akçay, Canan Akin
Pages : 36-47
Doi:10.54974/fcmathsci.1273407
View : 18 | Download : 17
Publication Date : 2024-01-31
Article Type : Research
Abstract :This paper introduces a new algebraic structure called dimodule. This structure is similar to a module. A dimodule occurs on a semigroup and a dimonoid in place of an additive abeliangroup and a ring, respectively. This paper presents some algebraic properties of the dimodules and supplies some of their examples. We suggest a de nition of a distributive dimonoid. This paper includes examples of this notion that a distributive dimonoid does not have to be a commutative and idempotent dimonoid. We also have examples of dimonoids and dimonoid homomorphisms.Keywords : Dimonoid, Semigroup, Dimodule