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Proceedings of the American Mathematical Society Series B

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society Series B (BPROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 2330-1511

The 2020 MCQ for Proceedings of the American Mathematical Society Series B is 0.84.

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Grassmann semialgebras and the Cayley-Hamilton theorem
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by Letterio Gatto and Louis Rowen HTML | PDF
Proc. Amer. Math. Soc. Ser. B 7 (2020), 183-201


We develop a theory of Grassmann semialgebra triples using Hasse-Schmidt derivations, which formally generalizes results such as the Cayley-Hamilton theorem in linear algebra, thereby providing a unified approach to classical linear algebra and tropical algebra.
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Additional Information
  • Letterio Gatto
  • Affiliation: Dipartimento di Scienze Matematiche, Politecnico di Torino, C. so Duca degli Abruzzi 24, 10129 Torino - Italia
  • MR Author ID: 269507
  • ORCID: 0000-0002-3446-2663
  • Email:
  • Louis Rowen
  • Affiliation: Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel
  • MR Author ID: 151270
  • Email:
  • Received by editor(s): May 14, 2018
  • Received by editor(s) in revised form: May 13, 2020
  • Published electronically: November 25, 2020
  • Additional Notes: The first author was partially supported by INDAM-GNSAGA and by PRIN "Geometria sulle varietà algebriche"   Progetto di Eccellenza  Dipartimento  di  Scienze  Matematiche, 2018–2022 no. E11G18000350001.
    The second author was supported in part by the Israel Science Foundation, grant No. 1207/12 and his visit to Torino was supported by the “Finanziamento Diffuso della Ricerca”, grant no. 53$\_$RBA17GATLET, of Politecnico di Torino
  • Communicated by: Jerzy Weyman
  • © Copyright 2020 by the authors under Creative Commons Attribution-Noncommercial 3.0 License (CC BY NC 3.0)
  • Journal: Proc. Amer. Math. Soc. Ser. B 7 (2020), 183-201
  • MSC (2020): Primary 15A75, 16Y60, 15A18; Secondary 12K10, 14T10
  • DOI:
  • MathSciNet review: 4178736