1- Islamic Azad University, Shahrekord Branch
2- Islamic Azad University, Shahrekord Branch&Persian Gulf University, Bushehr, Iran
3- Islamic Azad University, Shahrekord Branch , haghani1351@yahoo.com
Abstract: (483 Views)
In this paper we introduce the notion of generalized state coannihilators in state residuated lattices. We establish a connection between generalized state coannihilators and Galois connection. If A is a state residuated lattice, we show that the set of filters forms a Heyting algebra in which the relative pseudo-complement of G with respect to F is (F : G)ν. Also, we show that the set of state coannihilator filters form a Boolean lattice. Ultimately, we characterize generalized state coannihilators in terms of state prime filters and state minimal prime filters.
Type of Study:
Original Manuscript |
Subject:
Universal algebra Received: 2021/07/7 | Revised: 2024/02/21 | Accepted: 2022/04/24 | Published: 2024/01/8 | ePublished: 2024/01/8