Advances and Applications in Discrete Mathematics
Volume 29, Issue 2, Pages 205 - 222
(February 2022) http://dx.doi.org/10.17654/0974165822014 |
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BROUWERIAN GENERALISED LATTICES
Parimi Radhakrishna Kishore and Demelash Kumsa Mudaso
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Abstract: We introduce the concept of a Brouwerian generalised lattice as an extension of the concept of a Brouwerian lattice. Besides obtaining an equivalent condition for a distributive generalised lattice to be Brouwerian, we obtain some of its properties. Finally, we introduce the notion of the Brouwerian complement of an element in a Brouwerian generalised lattice and discuss some of its properties.
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Keywords and phrases: poset, lattice, distributive lattice, Brouwerian lattice |
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