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Notes on the History of Identities on Group (and Loop) Algebras

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Polynomial Identities in Algebras

Part of the book series: Springer INdAM Series ((SINDAMS,volume 44))

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Abstract

We survey the development of the theory of polynomial and group identities in group algebras, including properties of the unit groups that imply on group identities, starting from the very beginning of the theory. We also include the history of similar results for alternative loop algebras.

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Author information

Authors and Affiliations

  1. Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo, SP, Brazil

    C. Polcino Milies

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  1. C. Polcino Milies
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Editors and Affiliations

  1. Dipartimento di Matematica, Informatica ed Economia, Università della Basilicata, Potenza, Italy

    Onofrio Mario Di Vincenzo

  2. Dipartimento di Matematica e Informatica, Università di Palermo, Palermo, Italy

    Antonio Giambruno

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Milies, C.P. (2021). Notes on the History of Identities on Group (and Loop) Algebras. In: Di Vincenzo, O.M., Giambruno, A. (eds) Polynomial Identities in Algebras. Springer INdAM Series, vol 44. Springer, Cham. https://doi.org/10.1007/978-3-030-63111-6_18

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