Subspace semigroups

DOI10.1006/jabr.2000.8417zbMath0983.20062OpenAlexW2914027503MaRDI QIDQ5925794

Okniński, Jan, Putcha, Mohan S.

Publication date: 21 January 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8417

zbMATH Keywords

basic algebraschains of idealsfinite dimensional algebrasfull matrix algebrasGreen's relationsidempotentslinear algebraic semigroupslinear spansMorita equivalencesregular elementsstrongly \(\pi\)-regular semigroupssubspace semigroupsZariski closures

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) General structure theory for semigroups (20M10) Ideal theory for semigroups (20M12) Semigroups of transformations, relations, partitions, etc. (20M20)

Related Items (5)

Invariants of finite-dimensional algebras recognized by the semigroup of conjugacy classes of left ideals ⋮ Idempotent conjugacy in monoids ⋮ Algebras with finitely many orbits. ⋮ On Certain Semigroups Derived from Associative Algebras ⋮ Algebras with finitely many conjugacy classes of left ideals versus algebras of finite representation type

Cites Work

• Cocyclic subshifts
• Modules with decompositions that complement direct summands
• A combinatorial property and growth for semigroups of matrices
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