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Boolean Algebras Derived from a Quotient of a Distributive Lattice

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Abstract

In this article, we introduce a lattice congruence \(\theta _I^d\) with respect to a nonempty ideal I of a distributive lattice L and a derivation d on L. We investigate some necessary and sufficient conditions for the quotient algebra \(L/\theta _I^d\) to be a Boolean algebra.

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Acknowledgements

I would like to express my appreciation to the referees for carefully reading the paper.

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Authors and Affiliations

  1. Department of Mathematics, Tafresh University, Tafresh, 39518-79611, Iran

    H. Barzegar

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  1. H. Barzegar
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Correspondence to H. Barzegar.

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Communicated by Rosihan M. Ali.

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Barzegar, H. Boolean Algebras Derived from a Quotient of a Distributive Lattice. Bull. Malays. Math. Sci. Soc. 45, 2269–2284 (2022). https://doi.org/10.1007/s40840-022-01344-7

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  • DOI: https://doi.org/10.1007/s40840-022-01344-7

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