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PREUVES, PROGRAMMES et SYSTÈMES |  |
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PREUVES, PROGRAMMES et SYSTÈMES | |
| HAL: hal-00148370, version 2 |
| DOI: 10.1016/j.jpaa.2008.10.005 |
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| Journal of Pure and Applied Algebra 213 (2009) 947-968 |
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| Available versions: | v1 (2007-05-22) | v2 (2008-04-09) |
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| Polygraphic resolutions and homology of monoids |
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| Yves Lafont 1François Métayer 2 |
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| (2009-06) |
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| We prove that, for any monoid M, the homology defined by the second author by means of polygraphic resolutions coincides with the homology classically defined by means of resolutions by free ZM-modules. |
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| 1: | Institut de Mathématiques de Luminy (IML) |
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CNRS : UPR9016 |
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| 2: | Preuves, Programmes et Systèmes (PPS) |
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CNRS : UMR7126 – Université Paris VII - Paris Diderot |
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| Subject | : | Mathematics/Category Theory |
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| n-category – polygraph – resolution – monoid – homology |
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| hal-00148370, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00148370 | |
| oai:hal.archives-ouvertes.fr:hal-00148370 | |
| From: Francois Metayer | |
| Submitted on: Wednesday, 9 April 2008 15:07:27 | |
| Updated on: Saturday, 13 June 2009 16:28:54 | |
