A note on Category of SuperHyper BCI-Algebra

Santhakumar .S1,∗ , Sumathi .I .R1, Mahalakshmi .J1

1Department of Mathematics, Amrita School of Physical Sciences, Coimbatore, Amrita Vishwa

Vidyapeetham, India

Emails: santhakumar@cb.amrita.edu; sumathi@cb.amrita.edu; mahalakshmi@cb.amrita.edu

Abstract

In this paper, we have put forward the SH-homo and 0−preserving SH-homo to compare two SH-groupoids

along with few examples. Some properties of SH-homo and 0−preserving SH-homo are explored. Also,

we proved the SH-homo between two SuperHyper BCI-Algebra is 0−preserving SH-homo. Finally, the

category of SuperHyper Groupoid, SuperHyper BCI-Algebra and Neutrosophic SuperHyper BCI-Algebra

were investigated.

Keywords: Category; SuperHyper operation; SuperHyper homomorphism; Neutrosophic SuperHyper

homomorphism