Semigroups of linear transformations with fixed subspaces: Green’s relations, ideals and finiteness conditions

DOI10.1142/S1793557119500621zbMath1484.20107OpenAlexW2801643123WikidataQ129977068 ScholiaQ129977068MaRDI QIDQ5223092

Chollawat Pookpienlert, Jintana Sanwong, Yanisa Chaiya

Publication date: 5 July 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557119500621

zbMATH Keywords

regularityGreen's relationsidealsfactorizabilitydirect finitenesslinear transformation semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Linear transformations, semilinear transformations (15A04)

Related Items (1)

Natural partial order and finiteness conditions on semigroups of linear transformations with invariant subspaces

Cites Work

• Factorizable as a finiteness condition
• Locally factorisable transformation semigroups
• Natural partial orders on transformation semigroups with fixed sets
• Regularity and unit-regularity of generalized semigroups of linear transformations
• On transformation semigroups which are \(\mathcal{BQ}\)-semigroups.
• Semigroups of transformations with fixed sets
• The Ideal Structure of Semigroups of Linear Transformations with Lower Bounds on Their Nullity or Defect
• Maximal subsemigroups and finiteness conditions on transformation semigroups with fixed sets
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