The Ideal Structure of Semigroups of Linear Transformations with Lower Bounds on Their Nullity or Defect

DOI10.1142/S1005386710000131zbMath1183.20062MaRDI QIDQ3656795

Suzana Mendes-Gonçalves, Robert P. Sullivan

Publication date: 14 January 2010

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: http://www.worldscinet.com/ac/17/1701/S1005386710000131.html

zbMATH Keywords

bi-idealsGreen relationsquasi-idealsmaximal regular subsemigroupslinear transformation semigroupsmaximal right cancellative subsemigroups

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20) Linear transformations, semilinear transformations (15A04)

Related Items (3)

BQ-Semigroups of Generalised Linear Transformations ⋮ THE NATURAL PARTIAL ORDER ON LINEAR SEMIGROUPS WITH NULLITY AND CO-RANK BOUNDED BELOW ⋮ Semigroups of linear transformations with fixed subspaces: Green’s relations, ideals and finiteness conditions

Cites Work

• Unnamed Item
• The Ideal Structure of Semigroups of Linear Transformations with Upper Bounds on Their Nullity or Defect
• Products of idempotent linear transformations
• SOME TRANSFORMATION SEMIGROUPS WHOSE SETS OF BI-IDEALS AND QUASI-IDEALS COINCIDE
• Semigroups of Injective Linear Transformations with Infinite Defect

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