A note on finitely generated ideal-simple commutative semirings

Vítězslav Kala; Tomáš Kepka

Commentationes Mathematicae Universitatis Carolinae (2008)

  • Volume: 49, Issue: 1, page 1-9
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Kala, 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 -

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