A Note on Symmetric Elements of Division Rings with Involution

被引：1

作者：

Vo Hoang Minh Thu ^{[1
,2
]}

机构：

[1] Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

来源：

ACTA MATHEMATICA VIETNAMICA | 2022年 / 47卷 / 02期

关键词：

Division ring; Involution; Right algebraic; ALGEBRAS; COMMUTATORS;

D O I：

10.1007/s40306-021-00450-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a division ring with involution star and S the set of all symmetric elements of D. Assume that the center F of D is uncountable and K is a division subring of D containing F. The main aim of this note is to show that S is right algebraic over K if and only if so is D. This result allows us to construct an example of division rings K subset of D such that D is right algebraic but not left algebraic over K.

引用

页码：495 / 502

页数：8

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