FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 3, PAGES 813-816

Weak graded analogues of Gauss lemma and Eisenstein criterion

A.N.Khaikin

This paper continues a series of investigations, devoted to generalized forms of Gauss lemma and Eisenstein criterion. In this paper Z⁺-weak graded rings are considered. Theorem 1 is an analog of Eisenstein criterion, theorem 2 is an analog of Gauss lemma. Some improvement of the result of Kovachich follows from these theorems. Partial necessity of some sufficient conditions introduced in the paper has been demonstrated in theorem 3.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/95/953/95318.htm
Last modified: September 26, 2004.