Supermatrix Representations of Semigroup Bands

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dc.creatorDuplij, Steven
dc.date1996-09-19
dc.date.accessioned2026-07-07T09:13:39Z
dc.date.available2026-07-07T09:13:39Z
dc.descriptionVarious semigroups of noninvertible supermatrices of the special (antitriangle) shape having nilpotent Berezinian which appear in supersymmetric theories are defined and investigated. A subset of them continuously represents left and right zero semigroups and rectangular bands. The ideal properties of higher order rectangular band analogs and the ``wreath'' version of them are studied in detail. We introduce the ``fine'' equivalence relations leading to ``multidimesional'' eggbox diagrams. They are full images of Green's relations on corresponding subsemigroups.
dc.description27 pages, Standard LaTeX with AmS fonts
dc.identifierhttps://arxiv.org/abs/funct-an/9609002
dc.identifierhttp://arxiv.org/abs/funct-an/9609002
dc.identifierPure and Appl. Math. v.7 (1996) 235-261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152399
dc.subjectFunctional Analysis
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleSupermatrix Representations of Semigroup Bands
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