FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 2, PAGES 175-192

Semirings of cyclic types

A. V. Mikhalev
A. A. Nechaev
A. V. Prudnikov
M. S. Staroverov
A. S. Vydrin

Abstract

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The authors investigate semirings of cyclic types from the algebraic point of view. To simplify and facilitate the analysis, local Fourier transform of these semirings is introduced. The authors describe zero divisors, nilpotent elements, invertible elements, idempotents, and the Jacobson radical.

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Last modified: June 17, 2006