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math.RAMay 8, 2018
5
citations (OpenAlex)
authors
  • I. A. Karimjanov
  • Ivan Kaygorodov
  • Manuel Ladra
institutions
  • Universidade de Santiago de Compostela
  • Universidade Federal do ABC
arXiv abstractPDF
paper

Rota-type operators on null-filiform associative algebras

arXiv:1805.03307 · doi:10.1080/03081087.2018.1501331

Abstract

We give the description of homogeneous Rota-Baxter operators, Reynolds operators, Nijenhuis operators, Average operators and differential operator of weight 1 of null-filiform associative algebras of arbitrary dimension.

References in corpus (9)

  • Gradings on the Albert Algebra and on f4​
  • Rota-Baxter operators on sl(2,C) and solutions of the classical Yang-Baxter equation
  • Rota-Baxter Operators on Quadratic Algebras
  • λ-Differential operators and λ-differential modules for the Virasoro algebra
  • Rota-Baxter operators on Witt and Virasoro algebras
  • Rota-Baxter operators on the polynomial algebras, integration and averaging operators
  • From simplicial Lie algebras and hypercrossed complexes to differential graded Lie algebras via 1-jets
  • Phantom energy from graded algebras
  • Infinitesimal deformations of naturally graded filiform Leibniz algebras
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