Bódi, Viktor (2000) On elements in algebras having finite number of conjugates. Publicationes Mathematicae Debrecen, 57 (12). pp. 231239. ISSN 00333883

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Abstract
Let R be a ring with unity and U(R) its group of units. Let Delta U = {a is an element of U(R) \textbackslash [U(R) : CU(R)(a)] < infinity} be the FCradical of U(R) and let del(R) = {a is an element of R \textbackslash [U(R) : CU(R)(a)] < infinity} be the FCsubring of R. An infinite subgroup H of U(R) is said to be an omegasubgroup if the left annihilator of each nonzero Lie commmutator [x, y] in R contains only finite number of elements of the form 1  h, where x, y is an element of R and h is an element of H. In the case when R is an algebra over a field F, and U(R) contains an omegasubgroup, we describe its FCsubalgebra and the FCradical. This paper is an extension of [1].
Item Type:  Article 

Subjects:  Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra 
Depositing User:  Erika Bilicsi 
Date Deposited:  16 Nov 2012 08:30 
Last Modified:  16 Nov 2012 08:30 
URI:  http://real.mtak.hu/id/eprint/3388 
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