Geodesic
A Counterexample to a Conjecture of Barr
Theory and applications of categories, Tome 2 (1996), pp. 36-39

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We discuss two versions of a conjecture attributed to M. Barr. The Harrison cohomology of a commutative algebra is known to coincide with the Andre/Quillen cohomology over a field of characteristic zero but not in prime characteristics. The conjecture is that a modified version of Harrison cohomology, taking into account torsion, always agrees with Andre/Quillen cohomology. We give a counterexample.

Classification : 13D03, 18C15.
Keywords: Hochschild homology, Harrison homology, Andr'e/Quillen homology. 
@article{TAC_1996_2_a2,
     author = {Sarah Whitehouse},
     title = {A {Counterexample} to a {Conjecture} of {Barr}},
     journal = {Theory and applications of categories},
     pages = {36--39},
     publisher = {mathdoc},
     volume = {2},
     year = {1996},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_1996_2_a2/}
}
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Sarah Whitehouse. A Counterexample to a Conjecture of Barr. Theory and applications of categories, Tome 2 (1996), pp. 36-39. http://geodesic.mathdoc.fr/item/TAC_1996_2_a2/