Hirsch, R. and Jackson, M. and Mikulás, Szabolcs (2015) The algebra of functions with antidomain and range. Journal of Pure and Applied Algebra 220 (6), pp. 2214-2239. ISSN 0022-4049.
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Abstract
We give complete, finite quasiequational axiomatisations for algebras of unary partial functions under the operations of composition, domain, antidomain, range and intersection. This completes the extensive programme of classifying algebras of unary partial functions under combinations of these operations. We look at the complexity of the equational theories and provide a nondeterministic polynomial upper bound. Finally we look at the problem of finite representability and show that finite algebras can be represented as a collection of unary functions over a finite base set provided that intersection is not in the signature.
Metadata
| Item Type: | Article |
|---|---|
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Szabolcs Mikulas |
| Date Deposited: | 09 Dec 2015 10:47 |
| Last Modified: | 06 Apr 2025 07:35 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/13339 |
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