Document Type : Original Manuscript


1 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395- 4697, Tehran, Iran.

2 School of Mathematics, Statistics and Computer Sciences, University of Tehran, P.O. Box 14155-6455, Tehran, Iran.


Abstract. 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 di fferences between class of multirings, general multirings and general hyperrings and constructs the class of (in)fi nite general multirings based on any given non-empty set. In fi nal, we defi ne the concept of hyperideals in general multirings and compare with hyperideals in other
similar (hyper)structures.


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