State filters in state residuated lattices

Zahra Dehghani; Fereshteh Forouzesh

State filters in state residuated lattices

Publish place: Categories and General Algebraic Structures with Applications، Vol: 10، Issue: 1

Publish Year: 1398

نوع سند: مقاله ژورنالی

زبان: English

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https://civilica.com/doc/1267976

شناسه ملی سند علمی:

JR_CGASAT-10-1_002

تاریخ نمایه سازی: 23 شهریور 1400

Abstract:

In this paper, we introduce the notions of prime state filters, obstinate state filters, and primary state filters in state residuated lattices and study some properties of them. Several characterizations of these state filters are given and the prime state filter theorem is proved. In addition, we investigate the relations between them.

Keywords:

State prime , state obstinate , state primary , state filter

Authors

Zahra Dehghani

Higher Education Complex of Bam, Iran

Fereshteh Forouzesh

Faculty of Mathematics and computing, Higher Education Complex of Bam, Kerman, Iran.

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