The Semigroup Generated by the Similarity Class of a Singular Matrix

DOI10.1080/00927872.2011.589878zbMath1262.15019arXiv1101.0549OpenAlexW3105373929MaRDI QIDQ3145443

Clément de Seguins Pazzis

Publication date: 20 December 2012

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

Full work available at URL: https://arxiv.org/abs/1101.0549

zbMATH Keywords

semigroupJordan canonical formcompanion matricesrational canonical formsimilarity class

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21)

Related Items (2)

The classification of normalizing groups. ⋮ Two generalizations of homogeneity in groups with applications to regular semigroups

Cites Work

• Unnamed Item
• Products of idempotent matrices over integral domains
• Independence algebras
• Products of idempotent endomorphisms of an independence algebra of finite rank
• Semigroups of linear endomorphisms closed under conjugation
• An Elementary Proof That Every Singular Matrix Is a Product of Idempotent Matrices
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup
• On products of idempotent matrices
• Products of idempotent matrices

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