Factor Rings and their decompositions in the Eisenstein integers Ring ${\huge\mathbb{Z}}\left[ \omega \right]$

Manouchehr Misaghian

$Factor Rings and their decompositions in the Eisenstein integers Ring ${\huge\mathbb{Z}}\left[ \omega \right]$$

Download

Title: Factor Rings and their decompositions in the Eisenstein integers Ring ${\huge\mathbb{Z}}\left[ \omega \right]$

Volume:

Number:

ISSN:

1829-1163

Official URL:

Contributor(s):

Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Coverage:

58-68

Abstract:

In this paper we will characterize the structure of factor rings for $\mathbb{Z}\left[ \omega \right]$ where $\omega=\frac{-1+\sqrt{-3}}{2},$is a 3rd primitive root of unity. Consequently, we can recognize prime numbers(elements) and their ramifications in $\mathbb{Z}\left[ \omega \right]$.

Publisher:

National Academy of Sciences of Armenia

Date created:

2013-07-17

Format:

pdf

Identifier:

oai:arar.sci.am:13258

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Subject and keywords:

Commutative rings and algebras

Object collections:

Digital Library > Articles

Last modified:

Apr 19, 2024

In our library since:

Feb 12, 2020

Number of object content hits:

All available object's versions:

https://arar.sci.am/publication/14974

Show description in RDF format:

RDF

Show description in OAI-PMH format:

OAI-PMH

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Edition name	Date
Factor Rings and their decompositions in the Eisenstein integers Ring ${\huge\mathbb{Z}}\left[ \omega \right]$	Apr 19, 2024

Object

Show content

Title: Factor Rings and their decompositions in the Eisenstein integers Ring ${\huge\mathbb{Z}}\left[ \omega \right]$

Creator:

Type:

Publication Details:

Journal or Publication Title:

Date of publication: