E. M. Vechtomov, A. V. Cheraneva, “Semifields with generator”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, Issue 3,Pages <nobr>25

This article is cited in 1 paper

MATHEMATICS

Semifields with generator

E. M. Vechtomov^a, A. V. Cheraneva^b

^a Vyatka State University of Humanities
^b Vyatka State University, Kirov

Abstract: The article deals with the theory of semirings and semifields. The definition of semifield's generator is given. It is shown that any semifield is embedded into a semifield with generator. Spectral characteristics of semifield with generator are also given.

Keywords: semifield, kernel of semifield, semifield's generator, irreducible spectrum.

UDC: 512.556

MSC: 16Y60, 12K10

Received: 29.03.2009