MATHEMATICA BOHEMICA, Vol. 132, No. 3, pp. 225-236, 2007

Weak Boolean products of bounded dually residuated $l$-monoids

J. Kuhr, J. Rachunek

Jan Kuhr, Jiri Rachunek, Department of Algebra and Geometry, Faculty of Science, Palacky University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic, e-mail: kuhr@inf.upol.cz, rachunek@inf.upol.cz

Abstract: In the paper we deal with weak Boolean products of bounded dually residuated $\ell$-monoids (DRl-monoids). Since bounded DRl-monoids are a generalization of pseudo MV-algebras and pseudo BL-algebras, the results can be immediately applied to these algebras.

Keywords: bounded DRl-monoid, weak Boolean product, prime spectrum

Classification (MSC 2000): 06F05, 06D35, 03G25

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