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Discussiones Mathematicae General Algebra and Applications 24(1) (2004) 115-124
DOI: https://doi.org/10.7151/dmgaa.1079

SOME DISTRIBUTIVITIES IN GBbi-QRs CHARACTERIZING BOOLEAN RINGS

Joanna Kaleta

Department of Applied Mathematics
Warsaw Agricultural University (WAU; SGGW)
ul. Nowoursynowska 166, PL-02-766 Warsaw
e-mail: kaleta@alpha.sggw.waw.pl

Abstract

This paper presents some manner of characterization of Boolean rings. These algebraic systems one can also characterize by means of some distributivities satisfied in GBbi-QRs.

Keywords: quasigroup, generalized Boolean bi-quasiring, generalized Boolean quasiring, Boolean ring, ring-like structure, axiomatic quantum mechanics, quantum logic.

2000 Mathematics Subject Classification: 06E20, 03G25, 03G12, 81P10, 20N05, 16Y99.

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Received 9 December 2003
Revised 3 and 11 June 2004