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On Semi-Boolean-Like Algebras

Antonio Ledda, Francesco Paoli, Antonino Salibra (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In a previous paper, we introduced the notion of Boolean-like algebra as a generalisation of Boolean algebras to an arbitrary similarity type. In a nutshell, a double-pointed algebra 𝐀 with constants 0 , 1 is Boolean-like in case for all a A the congruences θ a , 0 and θ a , 1 are complementary factor congruences of 𝐀 . We also introduced the weaker notion of semi-Boolean-like algebra, showing that it retained some of the strong algebraic properties characterising Boolean algebras. In this paper, we continue the investigation...

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