Geodesic
On Brouwer-Heyting lattices
Novi Sad Journal of Mathematics, Tome 52 (2022) no. 2.

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In this paper, we study the class of a BH lattices as a common frame to Brouwerian and Heyting lattices and investigate some related properties. Also, we characterize the divisibility condition in the definition of BH lattice and we obtain that the set H of all idempotent elements in a BH lattice $L$ forms a Heyting algebra. We introduce the notion of an IBH lattice and under some specific conditions, we characterize an MV algebra, a bounded Wajsberg hoop, a Boolean Algebra, and a commutative bounded BCK algebra in terms on IBH lattices.
Publié le :
DOI : 10.30755/NSJOM.11705
Classification : 06D99, 15B99
Keywords: Brouwer-Heyting monoids (BH monoids), BH Lattice, IBH Lattice, residuation 
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     author = {DPRV Subba Rao},
     title = {On {Brouwer-Heyting} lattices},
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     pages = {95 - 109},
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     volume = {52},
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     year = {2022},
     doi = {10.30755/NSJOM.11705},
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DPRV Subba Rao. On Brouwer-Heyting lattices. Novi Sad Journal of Mathematics, Tome 52 (2022) no. 2. doi : 10.30755/NSJOM.11705. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.11705/

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