Two constructions of De Morgan algebras and De Morgan quasirings
Ivan Chajda; Günther Eigenthaler
Discussiones Mathematicae - General Algebra and Applications (2009)
- Volume: 29, Issue: 2, page 169-180
- ISSN: 1509-9415
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topIvan Chajda, and Günther Eigenthaler. "Two constructions of De Morgan algebras and De Morgan quasirings." Discussiones Mathematicae - General Algebra and Applications 29.2 (2009): 169-180. <http://eudml.org/doc/276853>.
@article{IvanChajda2009,
abstract = {De Morgan quasirings are connected to De Morgan algebras in the same way as Boolean rings are connected to Boolean algebras. The aim of the paper is to establish a common axiom system for both De Morgan quasirings and De Morgan algebras and to show how an interval of a De Morgan algebra (or De Morgan quasiring) can be viewed as a De Morgan algebra (or De Morgan quasiring, respectively).},
author = {Ivan Chajda, Günther Eigenthaler},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {De Morgan algebra; De Morgan quasiring; D-algebra; interval algebra; Boolean element},
language = {eng},
number = {2},
pages = {169-180},
title = {Two constructions of De Morgan algebras and De Morgan quasirings},
url = {http://eudml.org/doc/276853},
volume = {29},
year = {2009},
}
TY - JOUR
AU - Ivan Chajda
AU - Günther Eigenthaler
TI - Two constructions of De Morgan algebras and De Morgan quasirings
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2009
VL - 29
IS - 2
SP - 169
EP - 180
AB - De Morgan quasirings are connected to De Morgan algebras in the same way as Boolean rings are connected to Boolean algebras. The aim of the paper is to establish a common axiom system for both De Morgan quasirings and De Morgan algebras and to show how an interval of a De Morgan algebra (or De Morgan quasiring) can be viewed as a De Morgan algebra (or De Morgan quasiring, respectively).
LA - eng
KW - De Morgan algebra; De Morgan quasiring; D-algebra; interval algebra; Boolean element
UR - http://eudml.org/doc/276853
ER -
References
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