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Partialization of categories and inverse braid-permutation monoids
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic. (Algebra)
2008 (English)In: International journal of algebra and computation, ISSN 0218-1967, Vol. 18, no 6, 989-1017 p.Article in journal (Refereed) Published
Abstract [en]

We show how one can use the partialization functor to obtain several recently defined inverse monoids, and use this functor to define new objects, which we call the inverse braid-permutation monoids. A presentation for this monoid is obtained. Finally, we study some abstract properties of the partialization functor and its iterations. This leads to a categorification of a monoid of all order-preserving maps, and series of orthodox generalizations of the symmetric inverse semigroup.

Place, publisher, year, edition, pages
2008. Vol. 18, no 6, 989-1017 p.
Keyword [en]
category, partial map, inverse semigroup, pullback, braid group
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-105794DOI: 10.1142/S0218196708004731ISI: 000259545400002OAI: oai:DiVA.org:uu-105794DiVA: diva2:222495
Available from: 2009-06-08 Created: 2009-06-08 Last updated: 2017-12-13Bibliographically approved

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Algebra, Geometry and Logic
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