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65th Workshop on General Algebra, 18th Conference for Young Algebraists
March 21-23, 2003
University of Potsdam
Potsdam, Germany

Organizers
Klaus Denecke, Jörg Koppitz

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Direct products of DRl-monoids (l-groups and certain algebras)
by
Jan Kuhr
Palacky University Olomouc

Dually residuated lattice ordered monoids (DRl-monoids) constitute a generalization of lattice ordered groups (l-groups) and embrace also non-commutative extensions of algebras closely related to logic (pseudo BL-agebras, GMV-algebras etc.). We characterize the DRl-monoids that can be obtained as a direct product of an l-group and a Brouwerian algebra, a Boolean algebra, a pseudo BL-algebra, a GMV-algebra and a positive cone of an l-group, respectively.

Date received: January 30, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cake-36.