On the Category of Partial Bijections

Details On the Category of Partial Bijections On the Category of Partial Bijections

2009-03-05

arxiv.org/abs/0903.1017v1

Ann. Univ. Tibiscus Comp. Sci. Series 6 (2008), 173-180

Computer Science

Discrete Mathematics

8 pages, exposed on 2nd "European Conference on Computer Science & Applications" - XA2008, Timisoara, Romania

Scientific paper

Categories of partial functions have become increasingly important principally because of their applications in theoretical computer science. In this note we prove that the category of partial bijections between sets as an inverse-Baer*-category with closed projections and in which the idempotent split is an exact category. Finally the Noether isomorphism theorems are given for this exact category.

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