Geodesic
Week graded analogues of Gauss lemma and Eisenstein criterion
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 813-816

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper continues a series of investigations, devoted to generalized forms of Gauss lemma and Eisenstein criterion. Thus in papers [1] and [2] statements for rings with derivations are given, and in [3] those for $Z$- and $Z^+$-graded rings. In this paper $Z^+$-weak graded rings (which include two previous classes) 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 [1] follows from these theorems. Partial necessity of some sufficient conditions introduced in the paper has been demonstrated in theorem 3. 
@article{FPM_1995_1_3_a17,
     author = {A. N. Khaikin},
     title = {Week graded analogues of {Gauss} lemma and {Eisenstein} criterion},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {813--816},
     publisher = {mathdoc},
     volume = {1},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a17/}
}
TY  - JOUR
AU  - A. N. Khaikin
TI  - Week graded analogues of Gauss lemma and Eisenstein criterion
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1995
SP  - 813
EP  - 816
VL  - 1
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a17/
LA  - ru
ID  - FPM_1995_1_3_a17
ER  - 
%0 Journal Article
%A A. N. Khaikin
%T Week graded analogues of Gauss lemma and Eisenstein criterion
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 813-816
%V 1
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a17/
%G ru
%F FPM_1995_1_3_a17
A. N. Khaikin. Week graded analogues of Gauss lemma and Eisenstein criterion. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 813-816. http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a17/