State filters in state residuated lattices

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DEHGHANI ZAHRA; FOROUZESH FERESHTEH

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Journal: CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS Year:2019 | Volume:10 | Issue:1 Page(s): 17-37

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Information Journal Paper

Title

State filters in state residuated lattices

Author(s)

DEHGHANI ZAHRA | FOROUZESH FERESHTEH | Issue Writer Certificate

Keywords

State primeQ4

state obstinateQ4

state primaryQ4

state filterQ4

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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APA: Copy

DEHGHANI, ZAHRA, & FOROUZESH, FERESHTEH. (2019). State filters in state residuated lattices. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, 10(1 ), 17-37. SID. https://sid.ir/paper/255415/en

Vancouver: Copy

DEHGHANI ZAHRA, FOROUZESH FERESHTEH. State filters in state residuated lattices. CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS[Internet]. 2019;10(1 ):17-37. Available from: https://sid.ir/paper/255415/en

IEEE: Copy

ZAHRA DEHGHANI, and FERESHTEH FOROUZESH, “State filters in state residuated lattices,” CATEGORIES AND GENERAL ALGEBRAIC STRUCTURES WITH APPLICATIONS, vol. 10, no. 1 , pp. 17–37, 2019, [Online]. Available: https://sid.ir/paper/255415/en

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