Partialization of categories and inverse braid-permutation monoids
2008 (English)In: International journal of algebra and computation, ISSN 0218-1967, Vol. 18, no 6, 989-1017 p.Article in journal (Refereed) Published
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.
category, partial map, inverse semigroup, pullback, braid group
IdentifiersURN: urn:nbn:se:uu:diva-105794DOI: 10.1142/S0218196708004731ISI: 000259545400002OAI: oai:DiVA.org:uu-105794DiVA: diva2:222495