Free nilpotent minimum algebras

Mathematical Logic Quarterly 52 (3):219-236 (2006)
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Abstract

In the present paper we give a description of the free algebra over an arbitrary set of generators in the variety of nilpotent minimum algebras. Such description is given in terms of a weak Boolean product of directly indecomposable algebras over the Boolean space corresponding to the Boolean subalgebra of the free NM-algebra

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10.1002/malq.200510027

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Citations of this work

First-order Nilpotent minimum logics: first steps.Matteo Bianchi - 2013 - Archive for Mathematical Logic 52 (3-4):295-316.
Boolean products of R0-algebras.Xiangnan Zhou & Qingguo Li - 2010 - Mathematical Logic Quarterly 56 (3):289-298.

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References found in this work

On the structure of rotation-invariant semigroups.Sándor Jenei - 2003 - Archive for Mathematical Logic 42 (5):489-514.
On Some Varieties of MTL-algebras.Carles Noguera, Francesc Esteva & Joan Gispert - 2005 - Logic Journal of the IGPL 13 (4):443-466.

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