Integral and obstinate prefilters of hyper EQ-algebras

Document Type : Original Article


Department of Mathematics, University of Bojnord, Bojnord, Iran


The main goal of this paper is to introduce integral hyper EQ-algebras, integral (pre)filters and obstinate (pre)filters of hyper EQ-algebras. In the following, some characterizations of these (pre)filters in hyper EQ-algebras are investigated and it is proved that the quotient hyper EQ-algebras induced by a filter F is an integral hyper EQ-algebra if and only if F is an integral filter. Moreover, the concept obstinate (pre)filter in hyper EQ-algebras is introduced and some related properties are provided. Finally, the relationship among obstinate (pre)filters and some type of other (pre)filters such integral, maximal, (positive) implicative and fantastic (pre)filters in hyper EQ-algebras are studied.


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