The ring of regular functions of an algebraic monoid

Simple item page
dc.creatorRenner, Lex E.
dc.creatorRittatore, Alvaro
dc.date2009-02-12
dc.date.accessioned2026-07-07T12:41:32Z
dc.date.available2026-07-07T12:41:32Z
dc.descriptionLet M be an irreducible normal algebraic monoid with unit group G. It is known that G admits a Rosenlicht decomposition, G=G_antG_aff, where G_ant is the maximal anti-affine subgroup of G, and G_aff the maximal normal connected affine subgroup of G. In this paper we show that this decomposition extends to a decomposition M=G_antM_aff, where M_aff is the affine submonoid M_aff=\bar{G_aff}. We then use this decomposition to calculate $\mathcal{O}(M)$ in terms of $\mathcal{O}(M_aff)$ and G_aff, G_ant\subset G. In particular, we determine when M is an anti-affine monoid, that is when $\mathcal{O}(M)=K$.
dc.identifierhttps://arxiv.org/abs/0902.2217
dc.identifierhttp://arxiv.org/abs/0902.2217
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219803
dc.subjectAlgebraic Geometry
dc.subject14L30
dc.titleThe ring of regular functions of an algebraic monoid
dc.typetext

Files

Collections

arXiv