Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 281-284
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L. B. Luchishina. The properties of the $t$-adic integers. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 281-284. http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a17/
@article{FPM_2001_7_1_a17,
author = {L. B. Luchishina},
title = {The~properties of the $t$-adic integers},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {281--284},
year = {2001},
volume = {7},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a17/}
}
TY - JOUR
AU - L. B. Luchishina
TI - The properties of the $t$-adic integers
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2001
SP - 281
EP - 284
VL - 7
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a17/
LA - ru
ID - FPM_2001_7_1_a17
ER -
%0 Journal Article
%A L. B. Luchishina
%T The properties of the $t$-adic integers
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2001
%P 281-284
%V 7
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a17/
%G ru
%F FPM_2001_7_1_a17
In the article we introduce the $t$-adic algebra depending on certain $f$-type, generalizing usual Baer type for groups of rank 1. We consider the characteristics of invariants of the constructed algebra ($f$-characteristics) and study some characteristics of the divisibility relations of the $t$-adic integers.
