On medial Q-algebras

Sun Shin Ahn; Keum Sook So

doi:10.4134/CKMS.2010.25.3.365

On medial Q-algebras

Sun Shin Ahn
, Keum Sook So

Department of Mathematics Education

Hallym University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we show that the mapping φ(x) = 0 * x is an endomorphism of a Q-algebra X, which induces a congruence relation "~"such that X/φ is a medial Q-algebra. We also study some decompositions of ideals in Q-algebras and obtain equivalent conditions for closed ideals. Moreover, we show that if I is an ideal of a Q-algebra X, then I^g is an ignorable ideal of X.

Original language	English
Pages (from-to)	365-372
Number of pages	8
Journal	Communications of the Korean Mathematical Society
Volume	25
Issue number	3
DOIs	https://doi.org/10.4134/CKMS.2010.25.3.365
State	Published - 2010

Keywords

Medial Q-algebra
Q-algebra

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10.4134/CKMS.2010.25.3.365

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title = "On medial Q-algebras",

abstract = "In this paper, we show that the mapping φ(x) = 0 * x is an endomorphism of a Q-algebra X, which induces a congruence relation {"}\textasciitilde{}{"}such that X/φ is a medial Q-algebra. We also study some decompositions of ideals in Q-algebras and obtain equivalent conditions for closed ideals. Moreover, we show that if I is an ideal of a Q-algebra X, then Ig is an ignorable ideal of X.",

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AU - Ahn, Sun Shin

AU - So, Keum Sook

PY - 2010

Y1 - 2010

N2 - In this paper, we show that the mapping φ(x) = 0 * x is an endomorphism of a Q-algebra X, which induces a congruence relation "~"such that X/φ is a medial Q-algebra. We also study some decompositions of ideals in Q-algebras and obtain equivalent conditions for closed ideals. Moreover, we show that if I is an ideal of a Q-algebra X, then Ig is an ignorable ideal of X.

AB - In this paper, we show that the mapping φ(x) = 0 * x is an endomorphism of a Q-algebra X, which induces a congruence relation "~"such that X/φ is a medial Q-algebra. We also study some decompositions of ideals in Q-algebras and obtain equivalent conditions for closed ideals. Moreover, we show that if I is an ideal of a Q-algebra X, then Ig is an ignorable ideal of X.

KW - Medial Q-algebra

KW - Q-algebra

UR - https://www.scopus.com/pages/publications/77956805513

U2 - 10.4134/CKMS.2010.25.3.365

DO - 10.4134/CKMS.2010.25.3.365

M3 - Article

AN - SCOPUS:77956805513

SN - 1225-1763

VL - 25

SP - 365

EP - 372

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 3

ER -

On medial Q-algebras

Abstract

Keywords

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