Hypersubstitutions in orthomodular lattices
Discussiones Mathematicae - General Algebra and Applications (2001)
- Volume: 21, Issue: 1, page 83-92
- ISSN: 1509-9415
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topIvan Chajda, and Helmut Länger. "Hypersubstitutions in orthomodular lattices." Discussiones Mathematicae - General Algebra and Applications 21.1 (2001): 83-92. <http://eudml.org/doc/287606>.
@article{IvanChajda2001,
abstract = {It is shown that in the variety of orthomodular lattices every hypersubstitution respecting all absorption laws either leaves the lattice operations unchanged or interchanges join and meet. Further, in a variety of lattices with an involutory antiautomorphism a semigroup generated by three involutory hypersubstitutions is described.},
author = {Ivan Chajda, Helmut Länger},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {hypersubstitution; proper hypersubstitution; orthomodular lattice; absorption algebra; variety of orthomodular lattices},
language = {eng},
number = {1},
pages = {83-92},
title = {Hypersubstitutions in orthomodular lattices},
url = {http://eudml.org/doc/287606},
volume = {21},
year = {2001},
}
TY - JOUR
AU - Ivan Chajda
AU - Helmut Länger
TI - Hypersubstitutions in orthomodular lattices
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2001
VL - 21
IS - 1
SP - 83
EP - 92
AB - It is shown that in the variety of orthomodular lattices every hypersubstitution respecting all absorption laws either leaves the lattice operations unchanged or interchanges join and meet. Further, in a variety of lattices with an involutory antiautomorphism a semigroup generated by three involutory hypersubstitutions is described.
LA - eng
KW - hypersubstitution; proper hypersubstitution; orthomodular lattice; absorption algebra; variety of orthomodular lattices
UR - http://eudml.org/doc/287606
ER -
References
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- [5] J. Płonka, Proper and inner hypersubstitutions of varieties, 'General Algebra and Ordered Sets (Horni Lipová 1994)', Palacký University, Olomouc 1994, 106-115.
- [6] J. Płonka, On hyperidentities of some varieties, 'General Algebra and Discrete Mathematics (Potsdam 1993)', Heldermann-Verlag, Lemgo 1995, 199-213. Zbl0813.08004
- [7] Z. Szylicka, Proper hypersubstitutions of normalizations and externalizations of varieties, 'General Algebra and Ordered Sets (Horni Lipová 1994)', Palacký University, Olomouc 1994, 144-155. Zbl0828.08004
- [8] W. Taylor, Hyperidentities and hypervarieties, Aequationes Math. 23 (1981), 30-49. Zbl0491.08009
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