Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44500
Title: | Hagemann’s theorem for regular categories | Authors: | Janelidze, Zurab Rodelo, Diana Van der Linden, Tim |
Issue Date: | 2013 | Publisher: | Springer | Project: | PEst-C/MAT/UI0324/2011 | Serial title, monograph or event: | Journal of Homotopy and Related Structures | Volume: | 9 | Issue: | 1 | Abstract: | In this paper we extend the characterisation of n-permutable varieties of universal algebras due to J. Hagemann to regular categories. In particular, we show that a regular category has n-permutable congruences if and only if every internal reflexive relation R in it satisfies R^\circ \leqslant R^{n-1}, and if and only if every internal reflexive relation R in it satisfies R^n\leqslant R^{n-1}. In the case when n=2 this result is well known. | URI: | https://hdl.handle.net/10316/44500 | DOI: | 10.1007/s40062-013-0044-5 10.1007/s40062-013-0044-5 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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Hagemann's theorem for regular cats CMUC preprint.pdf | 494.1 kB | Adobe PDF | View/Open |
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