Some distributivities in GBbi-QRs characterizing Boolean rings
Joanna Kaleta
Discussiones Mathematicae - General Algebra and Applications, Tome 24 (2004), p. 115-124 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:287654 
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     journal = {Discussiones Mathematicae - General Algebra and Applications},
     volume = {24},
     year = {2004},
     pages = {115-124},
     zbl = {1065.06012},
     language = {en},
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Joanna Kaleta. Some distributivities in GBbi-QRs characterizing Boolean rings. Discussiones Mathematicae - General Algebra and Applications, Tome 24 (2004) pp. 115-124. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1079/

[000] [1] I. Chajda, Pseudosemirings induced by ortholattices, Czechoslovak Math. J. 46 (1996), 405-411. | Zbl 0879.06003

[001] [2] I. Chajda and G. Eigenthaler, A note on orthopseudorings and Boolean quasirings, Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 207 (1998), 83-94. | Zbl 1040.06003

[002] [3] G. Dorfer, A. Dvurecenskij and H. Länger, Symmetric difference in orthomodular lattices, Math. Slavaca 46 (1996). doi: 435-444 | Zbl 0890.06006

[003] [4] D. Dorninger, Sublogics of ring-like quantum logics, Tatra Mt. Math. Publ. 15 (1998), 75-83. | Zbl 0939.03074

[004] [5] D. Dorninger, H. Länger and M. Maczyński, The logic induced by system of homomorphisms and its various algebraic characterizations, Demonstratio Math. 30 (1997), 215-232. | Zbl 0879.06005

[005] [6] D. Dorninger, H. Länger and M. Maczyński, On ring-like structures occurring in axiomatic quantum mechanics, Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II 206 (1997), 279-289. | Zbl 0945.03095

[006] [7] D. Dorninger, H. Länger and M. Maczyński, Lattice properties of ring-like quantum logics, Internat. J. Theoret. Phys. 39 (2000), 1015-1026. | Zbl 0967.03055

[007] [8] D. Dorninger, H. Länger and M. Maczyński, On ring-like structures induced by Mackey's probability function, Rep. Math. Phys. 43 (1999), 499-515. | Zbl 1056.81004

[008] [9] H. Länger, Generalizations of the correspondence between Boolean algebras and Boolean rings to orthomodular lattices, Tatra Mt. Math. Publ. 15 (1998), 97-105. | Zbl 0939.03075

[009] [10] H.O. Pflugfelder, Quasigroups and Loops: Introduction, Heldermann Verlag, Berlin 1990. | Zbl 0715.20043