Is the class of all fuzzy rings a fuzzy HSP-class?

Authors

  • Nistala V. E. S. Murthy

DOI:

https://doi.org/10.5556/j.tkjm.34.2003.320

Abstract

The aim of this paper is to generalize, the notion of fuzzy subring of a crisp ring to that of a fuzzy ring and the notion of crisp homomorphism between crisp rings with fuzzy direct image and fuzzy inverse image to that of a fuzzy homomorphism between fuzzy rings with truth values in different complete lattices, with fuzzy direct and inverse images, in such a way that the class of all fuzzy rings is in fact a fuzzy HSP-Class. In the process several elementary but important properties that naturally extended, are recorded including Correspondence and Isomorphism Theorems.

Author Biography

Nistala V. E. S. Murthy

5-4-6/1, Punyapu Street SBI-6, SRIKAKULAM-532001, A. P. State, India.

Published

2003-09-30

How to Cite

Murthy, N. V. E. S. (2003). Is the class of all fuzzy rings a fuzzy HSP-class?. Tamkang Journal of Mathematics, 34(3), 271-292. https://doi.org/10.5556/j.tkjm.34.2003.320

Issue

Section

Papers

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