# Commutative directoids with sectional involutions

Discussiones Mathematicae - General Algebra and Applications (2007)

- Volume: 27, Issue: 1, page 49-58
- ISSN: 1509-9415

## Access Full Article

top## Abstract

top## How to cite

topIvan Chajda. "Commutative directoids with sectional involutions." Discussiones Mathematicae - General Algebra and Applications 27.1 (2007): 49-58. <http://eudml.org/doc/276934>.

@article{IvanChajda2007,

abstract = {The concept of a commutative directoid was introduced by J. Ježek and R. Quackenbush in 1990. We complete this algebra with involutions in its sections and show that it can be converted into a certain implication algebra. Asking several additional conditions, we show whether this directoid is sectionally complemented or whether the section is an NMV-algebra.},

author = {Ivan Chajda},

journal = {Discussiones Mathematicae - General Algebra and Applications},

keywords = {commutative directoid; sectional involution; sectional complement; d-implication algebra; NMV-algebra},

language = {eng},

number = {1},

pages = {49-58},

title = {Commutative directoids with sectional involutions},

url = {http://eudml.org/doc/276934},

volume = {27},

year = {2007},

}

TY - JOUR

AU - Ivan Chajda

TI - Commutative directoids with sectional involutions

JO - Discussiones Mathematicae - General Algebra and Applications

PY - 2007

VL - 27

IS - 1

SP - 49

EP - 58

AB - The concept of a commutative directoid was introduced by J. Ježek and R. Quackenbush in 1990. We complete this algebra with involutions in its sections and show that it can be converted into a certain implication algebra. Asking several additional conditions, we show whether this directoid is sectionally complemented or whether the section is an NMV-algebra.

LA - eng

KW - commutative directoid; sectional involution; sectional complement; d-implication algebra; NMV-algebra

UR - http://eudml.org/doc/276934

ER -

## References

top- [1] I. Chajda and J. Kühr, A non-associative generalization of MV-algebras, Math. Slovaca, to appear. Zbl1150.06012
- [2] J. Ježek and R. Quackenbush, Directoids: algebraic models of up-directed sets, Algebra Universalis 27 (1990), 49-69. Zbl0699.08002

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.