Commutative directoids with sectional involutions
Discussiones Mathematicae - General Algebra and Applications (2007)
- Volume: 27, Issue: 1, page 49-58
- ISSN: 1509-9415
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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
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