# 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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