Basic pseudorings
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 25-31
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The concept of a basic pseudoring is introduced. It is shown that every orthomodular lattice can be converted into a basic pseudoring by using of the term operation called Sasaki projection. It is given a mutual relationship between basic algebras and basic pseudorings. There are characterized basic pseudorings which can be converted into othomodular lattices.
The concept of a basic pseudoring is introduced. It is shown that every orthomodular lattice can be converted into a basic pseudoring by using of the term operation called Sasaki projection. It is given a mutual relationship between basic algebras and basic pseudorings. There are characterized basic pseudorings which can be converted into othomodular lattices.
Classification :
03G25, 06C15, 06D35
Keywords: Basic algebra; basic pseudoring; orthomodular lattice
Keywords: Basic algebra; basic pseudoring; orthomodular lattice
@article{AUPO_2009_48_1_a2,
author = {Chajda, Ivan and Kola\v{r}{\'\i}k, Miroslav},
title = {Basic pseudorings},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {25--31},
year = {2009},
volume = {48},
number = {1},
mrnumber = {2641945},
zbl = {1203.06012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2009_48_1_a2/}
}
Chajda, Ivan; Kolařík, Miroslav. Basic pseudorings. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 48 (2009) no. 1, pp. 25-31. http://geodesic.mathdoc.fr/item/AUPO_2009_48_1_a2/