(1) Universität Osnabrück, Fachbereich Mathematik/Informatik, 49069 Osnabrück, Germany;(2) A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St., Tbilisi, 380093, Georgia
Abstract:
An analogue of the Kunz–Frobenius criterion for the regularity of a local ring in a positive characteristic is established for general commutative semigroup rings.