Remarks on pseudo MV-algebras
Discussiones Mathematicae - General Algebra and Applications (2009)
- Volume: 29, Issue: 1, page 5-19
- ISSN: 1509-9415
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topIvan Chajda, and Miroslav Kolařík. "Remarks on pseudo MV-algebras." Discussiones Mathematicae - General Algebra and Applications 29.1 (2009): 5-19. <http://eudml.org/doc/276918>.
@article{IvanChajda2009,
abstract = {Pseudo MV-algebras (see e.g., [4, 6, 8]) are non-commutative extension of MV-algebras. We show that every pseudo MV-algebra is isomorphic to the algebra of action functions where the binary operation is function composition, zero is x ∧ y and unit is x. Then we define the so-called difference functions in pseudo MV-algebras and show how a pseudo MV-algebra can be reconstructed by them.},
author = {Ivan Chajda, Miroslav Kolařík},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {pseudo MV-algebra; action function; guard function; difference functions; Cayley theorem; difference function},
language = {eng},
number = {1},
pages = {5-19},
title = {Remarks on pseudo MV-algebras},
url = {http://eudml.org/doc/276918},
volume = {29},
year = {2009},
}
TY - JOUR
AU - Ivan Chajda
AU - Miroslav Kolařík
TI - Remarks on pseudo MV-algebras
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2009
VL - 29
IS - 1
SP - 5
EP - 19
AB - Pseudo MV-algebras (see e.g., [4, 6, 8]) are non-commutative extension of MV-algebras. We show that every pseudo MV-algebra is isomorphic to the algebra of action functions where the binary operation is function composition, zero is x ∧ y and unit is x. Then we define the so-called difference functions in pseudo MV-algebras and show how a pseudo MV-algebra can be reconstructed by them.
LA - eng
KW - pseudo MV-algebra; action function; guard function; difference functions; Cayley theorem; difference function
UR - http://eudml.org/doc/276918
ER -
References
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