A note on finitely generated ideal-simple commutative semirings
Commentationes Mathematicae Universitatis Carolinae (2008)
- Volume: 49, Issue: 1, page 1-9
- ISSN: 0010-2628
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topKala, Vítězslav, and Kepka, Tomáš. "A note on finitely generated ideal-simple commutative semirings." Commentationes Mathematicae Universitatis Carolinae 49.1 (2008): 1-9. <http://eudml.org/doc/250478>.
@article{Kala2008,
abstract = {Many infinite finitely generated ideal-simple commutative semirings are additively idempotent. It is not clear whether this is true in general. However, to solve the problem, one can restrict oneself only to parasemifields.},
author = {Kala, Vítězslav, Kepka, Tomáš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semiring; ideal; simple; ideal-simple semirings; congruence-simple semirings; commutative semirings},
language = {eng},
number = {1},
pages = {1-9},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on finitely generated ideal-simple commutative semirings},
url = {http://eudml.org/doc/250478},
volume = {49},
year = {2008},
}
TY - JOUR
AU - Kala, Vítězslav
AU - Kepka, Tomáš
TI - A note on finitely generated ideal-simple commutative semirings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 1
SP - 1
EP - 9
AB - Many infinite finitely generated ideal-simple commutative semirings are additively idempotent. It is not clear whether this is true in general. However, to solve the problem, one can restrict oneself only to parasemifields.
LA - eng
KW - semiring; ideal; simple; ideal-simple semirings; congruence-simple semirings; commutative semirings
UR - http://eudml.org/doc/250478
ER -
References
top- El Bashir R., Hurt J., Jančařík A., Kepka T., 10.1006/jabr.2000.8483, J. Algebra 236 (2001), 277-306. (2001) Zbl0976.16034MR1808355DOI10.1006/jabr.2000.8483
- Hebisch U., Weinert H.J., Halbringe - Algebraische Theorie und Anwendungen in der Informatik, Teubner, Stuttgart, 1993. Zbl0829.16035MR1311247
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