TY  - JOUR
AU  - Kim, Hee Sik
AU  - Neggers, J.
AU  - Ahn, Sun Shin
PY  - 2022
TI  - A generalization of identities in groupoids by functions
JO  - AIMS Mathematics
SP  - 16907
EP  - 16916
VL  - 7
IS  - 9
AB  - In this paper, we introduce the notions of a left and a right idenfunction in a groupoid by using suitable functions, and we apply this concept to several algebraic structures. Especially, we discuss its role in linear groupoids over a field. We show that, given an invertible function    φ, there exists a groupoid such that    φ is a right idenfunction. The notion of a right pseudo semigroup will be discussed in linear groupoids. The notion of an inversal is a generalization of an inverse element, and it will be discussed with idenfunctions in linear groupoids over a field.
UR  - https://doi.org/10.3934/math.2022928
DO  - 10.3934/math.2022928