Commutative zeropotent semigroups with few prime ideals

Jaroslav Ježek; Tomáš Kepka; P. Němec

Commentationes Mathematicae Universitatis Carolinae (2011)

  • Volume: 52, Issue: 4, page 501-505
  • ISSN: 0010-2628

Abstract

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We construct an infinite commutative zeropotent semigroup with only two prime ideals.

How to cite

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Ježek, Jaroslav, Kepka, Tomáš, and Němec, P.. "Commutative zeropotent semigroups with few prime ideals." Commentationes Mathematicae Universitatis Carolinae 52.4 (2011): 501-505. <http://eudml.org/doc/246701>.

@article{Ježek2011,
abstract = {We construct an infinite commutative zeropotent semigroup with only two prime ideals.},
author = {Ježek, Jaroslav, Kepka, Tomáš, Němec, P.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {semigroup; zeropotent; prime ideal; infinite commutative semigroups; zeropotent semigroups; prime ideals; endomorphism monoids},
language = {eng},
number = {4},
pages = {501-505},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Commutative zeropotent semigroups with few prime ideals},
url = {http://eudml.org/doc/246701},
volume = {52},
year = {2011},
}

TY - JOUR
AU - Ježek, Jaroslav
AU - Kepka, Tomáš
AU - Němec, P.
TI - Commutative zeropotent semigroups with few prime ideals
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2011
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 52
IS - 4
SP - 501
EP - 505
AB - We construct an infinite commutative zeropotent semigroup with only two prime ideals.
LA - eng
KW - semigroup; zeropotent; prime ideal; infinite commutative semigroups; zeropotent semigroups; prime ideals; endomorphism monoids
UR - http://eudml.org/doc/246701
ER -

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