The Class of Representable Semilattice-Ordered Monoids Is Not a Variety

Doumane, Amina

doi:10.1007/978-3-030-88701-8_9

Relational and Algebraic Methods in Computer Science

2021

DOI: 10.1007/978-3-030-88701-8_9

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The Class of Representable Semilattice-Ordered Monoids Is Not a Variety

Amina Doumane

Abstract: We show a necessary and a sufficient condition for a quasivariety to be a variety. Using this, we show that the quasivariety of representable relation algebras over the signature (•, ∩, 1) is not a variety.

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The Class of Representable Semilattice-Ordered Monoids Is Not a Variety

Abstract: We show a necessary and a sufficient condition for a quasivariety to be a variety. Using this, we show that the quasivariety of representable relation algebras over the signature (•, ∩, 1) is not a variety.

Cited by 0 publications

References 10 publications

No citations

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