Factorisation in Topological Monoids

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dc.creatorSnellman, Jan
dc.date1999-02-23
dc.date2001-09-19
dc.date.accessioned2026-07-07T05:28:01Z
dc.date.available2026-07-07T05:28:01Z
dc.descriptionThe aim of this paper is sketch a theory of divisibility and factorisation in topological monoids, where finite products are replaced by convergent products. The algebraic case can then be viewed as the special case of discretely topologised topological monoids. In particular, we define the topological factorisation monoid, a generalisation of the factorisation monoid for algebraic monoids, and show that it is always topologically factorial: any element can be uniquely written as a convergent product of irreducible elements. We give some sufficient conditions for a topological monoid to be topologically factorial.
dc.description11 pages, LaTeX2e, no figures
dc.identifierhttps://arxiv.org/abs/math/9902137
dc.identifierhttp://arxiv.org/abs/math/9902137
dc.identifierInternational Journal of Mathematics, Game Theory, and Algebra; 12:4 2002, pp 313-324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78143
dc.subjectGeneral Topology
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subject22A, 46H; 20M14, 13A05
dc.titleFactorisation in Topological Monoids
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