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Equational bases for weak monounary varieties

Grzegorz Bińczak (2002)

Discussiones Mathematicae - General Algebra and Applications

It is well-known that every monounary variety of total algebras has one-element equational basis (see [5]). In my paper I prove that every monounary weak variety has at most 3-element equational basis. I give an example of monounary weak variety having 3-element equational basis, which has no 2-element equational basis.

Intervals in partial monounary algebras

Danica Jakubíková-Studenovská (1991)

Mathematica Bohemica

In this paper the notion of an interval in a partial monounary algebra is introduced and pairs ( A , f ) , ( A , g ) of partial monounary algebras are investigated such that each interval in ( A , f ) is also an interval in ( A , g ) , and conversely.

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