Is the class of all fuzzy rings a fuzzy HSP-class?
Main Article Content
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.
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