Dehghani, Z., Forouzesh, F. (2019). State filters in state residuated lattices. Categories and General Algebraic Structures with Applications, 10(1), 17-37.

Zahra Dehghani; Fereshteh Forouzesh. "State filters in state residuated lattices". Categories and General Algebraic Structures with Applications, 10, 1, 2019, 17-37.

Dehghani, Z., Forouzesh, F. (2019). 'State filters in state residuated lattices', Categories and General Algebraic Structures with Applications, 10(1), pp. 17-37.

Dehghani, Z., Forouzesh, F. State filters in state residuated lattices. Categories and General Algebraic Structures with Applications, 2019; 10(1): 17-37.

^{2}Faculty of Mathematics and computing, Higher Education Complex of Bam, Kerman, Iran.

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.

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