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The Hilton-Heckmann argument for the anti-commutativity of cup products
Author(s):
Mariano
Suarez-Alvarez
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2241-2246.
MSC (2000):
Primary 18E30, 18G99;
Secondary 16E40
Posted:
March 25, 2004
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Abstract:
We present a simple extension of the classical Hilton-Eckmann argument which proves that the endomorphism monoid of the unit object in a monoidal category is commutative. It allows us to recover in a uniform way well-known results on the graded-commutativity of cup products defined on the cohomology theories attached to various algebraic structures, as well as some more recent results.
References:
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Additional Information:
Mariano
Suarez-Alvarez
Affiliation:
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires (1428), Argentina
Email:
mariano@dm.uba.ar
DOI:
10.1090/S0002-9939-04-07409-X
PII:
S 0002-9939(04)07409-X
Received by editor(s):
October 23, 2002
Received by editor(s) in revised form:
May 10, 2003
Posted:
March 25, 2004
Additional Notes:
This work was supported by a grant from \textsc{UBACyT} X062, the international cooperation project \textsc{SECyT-ECOS} A98E05, and a \textsc{CoNICET} scholarship.
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2004,
American Mathematical Society
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