Dimodules

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Fundamentals of Contemporary Mathematical Sciences
Volume:5 Issue:1
Dimodules

Dimodules

Authors : Ertuğrul Akçay, Canan Akin

Pages : 36-47

Doi:10.54974/fcmathsci.1273407

View : 33 | Download : 26

Publication Date : 2024-01-31

Article Type : Research Paper

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

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.