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Polynomial Maps of Modules
Stockholm University, Faculty of Science, Department of Mathematics.
2017 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 45, no 9, 4109-4122 p.Article in journal (Refereed) Published
Abstract [en]

The article focuses on three different notions of polynomiality for maps of modules. In addition to the polynomial maps studied by Eilenberg and Mac Lane and the strict polynomial maps (“lois polynomes”) considered by Roby, we introduce numerical maps and investigate their properties. Even though our notion requires the existence of binomial coefficients in the base ring, we argue that it constitutes the correct way to extend Eilenberg and Mac Lane’s polynomial maps of abelian groups to incorporate modules over more general rings. The main theorem propounds that our maps admit a description corresponding, word by word, to Roby’s definition of strict polynomial maps.

Place, publisher, year, edition, pages
2017. Vol. 45, no 9, 4109-4122 p.
Keyword [en]
Binomial ring, numerical map, polynomial map
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-140154DOI: 10.1080/00927872.2016.1261148ISI: 000399458900036OAI: oai:DiVA.org:su-140154DiVA: diva2:1077845
Available from: 2017-03-01 Created: 2017-03-01 Last updated: 2017-05-29Bibliographically approved

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Xantcha, Qimh Richey
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