The category of hyper S-acts
Keywords:
hyper S-act, congruence, isomorphism theorems, co-limitAbstract
The actions of a semigroup or a monoid S on sets have been studied and applied in many branches of mathematics. In this paper, we generalize this notion, and introduce the category of hyper S-acts with the homomorphisms between them. Then, using the usual notion of congruences defined for hyper S-acts, quotients are defined and isomorphism theorems are proved. Finally, limits and colimits in the category of hyper S-acts are studied.
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Published
2012-12-11
How to Cite
Shahbaz, L. (2012). The category of hyper S-acts. Italian Journal of Pure and Applied Mathematics, 29, 325–332. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6039
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Section
Articoli - Forum Editrice
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Copyright (c) 2012 Leila Shahbaz
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
