Hypersubstitutions in orthomodular lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 83-92
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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.
Keywords:
hypersubstitution, proper hypersubstitution, orthomodular lattice, absorption algebra
@article{DMGAA_2001_21_1_a7,
author = {Chajda, Ivan and L\"anger, Helmut},
title = {Hypersubstitutions in orthomodular lattices},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {83--92},
publisher = {mathdoc},
volume = {21},
number = {1},
year = {2001},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a7/}
}
TY - JOUR AU - Chajda, Ivan AU - Länger, Helmut TI - Hypersubstitutions in orthomodular lattices JO - Discussiones Mathematicae. General Algebra and Applications PY - 2001 SP - 83 EP - 92 VL - 21 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a7/ LA - en ID - DMGAA_2001_21_1_a7 ER -
Chajda, Ivan; Länger, Helmut. Hypersubstitutions in orthomodular lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 21 (2001) no. 1, pp. 83-92. http://geodesic.mathdoc.fr/item/DMGAA_2001_21_1_a7/