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Universal Algebra and Lattice Theory (Dedicated to the 70th birthday of B. Csakany)
July 22-26, 2002
University of Szeged
Szeged, Hungary

Organizers
Agnes Szendrei, Laszlo Szabo, Miklos Dorman

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Reducibility Number
by
Vilas S. Kharat
Department of Mathematics, University of Pune, Pune (INDIA)
Coauthors: B. N. Waphare (Dept. of Mathematics, University of Pune), N. K. Thakare (Dept. of Mathematics, University of Pune)

The notion of reducibility number is introduced and studied. The reducibility numbers for power set 2n, of an n-set (n >= 2) with respect to the classes of distributive lattices, modular lattices and Boolean lattices are calculated. Also, new light is thrown on the reducibility considerations as well as on the relationships between some groups G and their subgroup lattices L(G). The class of pseudocomplemented u-posets is shown to be reducible. Deletable elements in semidistributive posets are characterised.

Date received: February 13, 2002

Copyright © 2002 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 # caiv-02.