Rota-type operators on a commutative modular group algebra.

Authors

  • V. Bovdi Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates
  • V. Laver Department of Informative and Operating Systems and Technologies, Uzhhorod National University, Uzhhorod, Ukraine

Keywords:

Rota-type operators, group algebra, Reynolds operatoe, Nijenhuis operator, Average operator

Abstract

Currently (for example, see [1, 2, 3]) the Rota-type operators on associative algebras are
actively studied.

References

V. Gubarev, Rota-Baxter operators on unital algebras, arXiv: 1805.00723 (2019) 1–37.

I.A. Karimjanov, I. Kaygorodov, M. Ladra. Rota-type operators on null-filiform associative algebras, Linear Multilinear Algebra, 44 (2018) 1-15.

L. Guo, M. Rosenkranz, and S.H. Zheng, Rota-Baxter operators on the polynomial algebras, integration and averaging operators, Pacific J. Math., (2) 275 (2015) 481- 507.

V. Bovdi, V. Laver, Rota-type operators on a commutative modular group algebra, Submitted for publication. (2019) 1-18.

The GAP Group. GAP – Groups, Algorithms, and Programming, Version 4.10.0, 2018. url: https://www.gapsystem.org

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