Faithfully ⋆-representing semigroups and groupoids with involution by infinite matrices

DOI10.1080/03081087.2011.605063zbMath1254.20057OpenAlexW2085963839MaRDI QIDQ2895695

Michael P. Drazin, Mark L. Roberts

Publication date: 4 July 2012

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2011.605063

zbMATH Keywords

involutionsMoore-Penrose inversesfaithful representationsinfinite matricesgroup inverses\(*\)-embeddingsgroupoids with involution

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Representations of orders, lattices, algebras over commutative rings (16G30) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Algebraic systems of matrices (15A30) Partial algebras (08A55) Sets with a single binary operation (groupoids) (20N02) Representation of semigroups; actions of semigroups on sets (20M30) Free nonassociative algebras (17A50) General theory of nonassociative rings and algebras (17A01)

Cites Work

• Universal properties of infinite matrices
• Generalized inverses and the total stopping times of collatz sequences
• Moore–Penrose inverse of an invertible infinite matrix
• Generalized inverses of an invertible infinite matrix

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