Minimal locally bounded fuzzy neighborhood rings and commutative division rings

✍ Scribed by T.M.G. Ahsanullah

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 688 KB
• Volume: 87
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00025-5

✦ Synopsis

We produce several characterization theorems on fuzzy neighborhood groups, rings and commutative division rings. Introducing local boundedness in fuzzy neighborhood rings, we discuss minimal elements in the set of fuzzy neighborhood systems compatible with ring and commutative division ring structures. This is based on weakening fuzzy neighborhood systems compatible with ring structures, in analogy to classical ring topologies.