Congruences and Filters of BH-Lattices

Venkateswarlu, Katta; Mamo, Mekonnen; Yitayew, Yibeltal

doi:10.4314/sinet.v46i3.11

SEJS

2024

DOI: 10.4314/sinet.v46i3.11

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Congruences and Filters of BH-Lattices

Katta Venkateswarlu

Mekonnen Mamo

Yibeltal Yitayew

Abstract: In this paper, we introduce the concept of filters in BH-lattices and furnish certain examples. We obtain certain basic properties of BH-lattices. Further, we characterize the filter generated by a given sub set of a BH-lattice. Also we prove that, the set of all filters with set inclusion forms a Heyting algebra. We obtain a one to one correspondence between the set of congruences and filter of BH-lattices.

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