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Description
  • Infinite fields are not finitely generated rings. A similar question is considered for further algebraic structures, mainly commutative semirings. In this case, purely algebraic methods fail and topological properties of integral lattice points turn out to be useful. We prove that a commutative setniring that is a group with respect to multiplication can be two-generated only if it belongs to the subclass of additively idempotent semirings; this class is equivalent to l-groups.
  • Infinite fields are not finitely generated rings. A similar question is considered for further algebraic structures, mainly commutative semirings. In this case, purely algebraic methods fail and topological properties of integral lattice points turn out to be useful. We prove that a commutative setniring that is a group with respect to multiplication can be two-generated only if it belongs to the subclass of additively idempotent semirings; this class is equivalent to l-groups. (en)
Title
  • Finitely generated algebraic structures with various divisibility conditions
  • Finitely generated algebraic structures with various divisibility conditions (en)
skos:prefLabel
  • Finitely generated algebraic structures with various divisibility conditions
  • Finitely generated algebraic structures with various divisibility conditions (en)
skos:notation
  • RIV/00216208:11320/12:10127151!RIV13-GA0-11320___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/0296)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 136628
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  • RIV/00216208:11320/12:10127151
http://linked.open...riv/jazykVysledku
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  • quasigroup; semiring; simple; Finitely generated (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [E6FC06C8179C]
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  • Forum Mathematicum
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 24
http://linked.open...iv/tvurceVysledku
  • Ježek, Jaroslav
  • Kepka, Tomáš
  • Kala, Vítězslav
http://linked.open...ain/vavai/riv/wos
  • 000303419000010
issn
  • 0933-7741
number of pages
http://bibframe.org/vocab/doi
  • 10.1515/FORM.2011.068
http://localhost/t...ganizacniJednotka
  • 11320
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