Geodesic
Exact sequences of commutative monoids and semimodules
Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 199-214.

Voir la notice de l'article provenant de la source International Press of Boston

Basic homological lemmas well known for modules over rings and, more generally, in the context of abelian categories, have been extended to many other concrete and abstract-categorical contexts by various authors. We propose a new such extension, specifically for commutative monoids and semimodules; these two contexts are equivalent since the forgetful functors from varieties of semimodules to the variety of commutative monoids preserve all limits and colimits.
DOI : 10.4310/HHA.2014.v16.n1.a12
Classification : 16Y60, 18A30, 18G60
Keywords: exact sequence, semimodule, semiring, commutative monoid, homological lemma, snake lemma 
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Jawad Y. Abuhlail. Exact sequences of commutative monoids and semimodules. Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 199-214. doi : 10.4310/HHA.2014.v16.n1.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n1.a12/

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