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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