n-Ary k-Actions Between Sets and Their Applications

DOI10.1007/978-3-030-35256-1_9zbMath1436.17006OpenAlexW2997008910MaRDI QIDQ3294663

Francisco J. Navarro Izquierdo, Babacar Gaye, Antonio Jesús Calderón Martín

Publication date: 29 June 2020

Published in: Associative and Non-Associative Algebras and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35256-1_9

zbMATH Keywords

setstructure theoryapplicationgrading\(k\)-module over a linear spacegraded \(k\)-module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Structure theory for nonassociative algebras (17A60) Graded rings and modules (associative rings and algebras) (16W50) Other algebras built from modules (15A78)

Cites Work

• Unnamed Item
• Lifting property of the Jacobson radical in associative pairs.
• On polynomial identities in associative and Jordan pairs
• Involutions on rectangular Jordan pairs
• \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis
• Modules over linear spaces admitting a multiplicative basis
• Actions between sets. Arbitrarily graded linear modules
• Extended magmas and their applications
• A characterization of the semisimplity of Lie-type algebras through the existence of certain linear bases

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