Ordered groups and fields
Identifieur interne : 000B47 ( Istex/Curation ); précédent : 000B46; suivant : 000B48Ordered groups and fields
Auteurs : Nicolas BourbakiSource :
- Elements of Mathematics ; 2003.
Abstract
Abstract: The notions and results presented in this section concern the study of order relations in commutative monoids (I, p. 12, Def. 2), the most important case being that of abelian groups. Unless explicitly stated otherwise, we will use additive notation for the composition law in all groups and monoids under study. On the other hand, as we go along we will present certain important algebraic applications of the theory of ordered groups and monoids, and we will accordingly translate certain of our results into the multiplicative notation which is appropriate for these applications.
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DOI: 10.1007/978-3-642-61698-3_3
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