Geodesic
Pointed semibiproducts of monoids
Theory and applications of categories, Tome 39 (2023), pp. 172-185

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

A new notion of a (pointed) semibiproduct is introduced, which, in the case of groups amounts to an extension equipped with a set-theoretical section. When the section is a group homomorphism then a pointed semibiproduct is the same as a group split extension. The main result of the paper is a characterization of pointed semibiproducts of monoids using a structure that is a generalization of the action that is used in the definition of a semidirect product of groups.

Publié le :
Classification : 18G50, 20M10, 20M32
Keywords: Semibiproduct, biproduct, semidirect product of groups and monoids, pointed semibiproduct, semibiproduct extension, pointed monoid action system, Schreier extension 
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     author = {Nelson Martins-Ferreira},
     title = {Pointed semibiproducts of monoids},
     journal = {Theory and applications of categories},
     pages = {172--185},
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     volume = {39},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2023_39_a5/}
}
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Nelson Martins-Ferreira. Pointed semibiproducts of monoids. Theory and applications of categories, Tome 39 (2023), pp. 172-185. http://geodesic.mathdoc.fr/item/TAC_2023_39_a5/