VALUED-POTENT (GENERAL) MULTIRINGS

This paper extends multirings to a novel concept as general multirings, investigates their properties and presents a special general multirings as notation of (m,n)-potent general multirings. This study analyzes the differences between class of multirings, general multirings and general hyperrings and constructs the class of (in)finite general multirings based on any given nonempty set. In final, we define the concept of hyperideals in general multirings and compare with hyperideals in other similar (hyper)structures.