Correlation between E-Groups and Properties of n-Multiplications on Abelian Groups

In this paper, we consider multilinear maps of an Abelian group into itself ( n -multiplications) and their properties. We obtain equivalent conditions for an Abelian group to be an E -group in terms of n -multiplications. A correlation between properties of n -multiplications on the Abelian group a...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 259; no. 4; pp. 420 - 426
Main Author Karpov, O. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 02.12.2021
Springer
Springer Nature B.V
Subjects
Analysis
Electronic discussion groups
Group theory
Mathematics
Mathematics and Statistics
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Summary:In this paper, we consider multilinear maps of an Abelian group into itself ( n -multiplications) and their properties. We obtain equivalent conditions for an Abelian group to be an E -group in terms of n -multiplications. A correlation between properties of n -multiplications on the Abelian group at various n is found.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05630-w