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math.LO2020
An algebraic theory of clones with an application to a question of Birkhoff and Maltsev
Antonio Bucciarelli, Antonino Salibra
We introduce the notion of clone algebra, intended to found a one-sorted, purely algebraic theory of clones. Clone algebras are defined by true identities and thus form a variety i…
math.LO2019
On noncommutative generalisations of Boolean algebras
Antonio Bucciarelli, Antonino Salibra
Skew Boolean algebras (skew BA) and Boolean-like algebras (nBA) are one-pointed and n-pointed noncommutative generalisation of Boolean algebras, respectively. We show that any nBA…