Abstract

In this paper, we made an attempt to study the algebraic nature of fuzzy subnear rings of a near ring.

Highlights

  • There are many concepts of universal algebras generalizing an associative ring (R; +, .)

  • 1∗mohamedalihashim@gmail.com, 2thalha0023@gmail.com μA(x − y) = μV (f (x − y)), since μV (f (x)) = μA(x) = μV (f (x) − f (y)), as f is a homomorphism ≥ min{μV (f (x)), μV (f (y))} = min{μA(x), μA(y)}, sinceμV (f (x)) = μA(x) which implies that μA(x − y) ≥ min{μA(x), μA(y)}

  • ΜA(xy) = μV (f), since μV (f (x)) = μA(x) = μV (f (x)f (y)), as f is a homomorphism ≥ min{μV (f (x)), μV (f (y))} = min{μA(x), μA(y)}, sinceμV (f (x)) = μA(x) which implies that μA(xy) ≥ min{μA(x), μA(y)}

Read more

Summary

Introduction

There are many concepts of universal algebras generalizing an associative ring (R; +, .). Definition 2.6 If (R, +, .) and (R , +, .) are any two near rings, the function f : R → R is called a homomorphism if f (x+y) = f (x)+f (y) and f (xy) = f (x)f (y), for all x and y in R. Definition 2.7 If (R, +, .) and (R , +, .) are any two near rings, the function f : R → R is called an anti-homomorphism if f (x + y) = f (y) + f (x) and f (xy) = f (y)f (x), for all x and y in R.

Results
Conclusion
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.