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On the algebraic closure in rings
Author(s):
Dragana
Cvetkovic-Ilic;
Robin
Harte
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3547-3552.
MSC (2000):
Primary 46L05
Posted:
July 3, 2007
MathSciNet review:
2336569
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Abstract:
The ``algebraic closure" of a subset  of a ring is an algebraic analogue of topological closure.
References:
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- 1.
- P. Ara, G.K. Pedersen and F. Perera, An infinite analogue of rings with stable rank one, J. Algebra 230 (2000) 608-655.MR 1775806 (2001g:16018)
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- 3.
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 -algebras, Proc. Amer. Math. Soc. 132 (2004) 2945-2950.MR 2063114 (2005d:46111) - 4.
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- 5.
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- D. Djordjevic, R.E. Harte and C. Stack, On left-right consistency in rings, Math. Proc. Royal Irish Acad. 106A (1) (2006) 11-17.MR 2198248 (2006i:46066)
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Additional Information:
Dragana
Cvetkovic-Ilic
Affiliation:
Department of Mathematics, Faculty of Science and Mathematics, University of Nis, Visegradska 33, 18000 Nis, Serbia
Email:
gagamaka@ptt.yu
Robin
Harte
Affiliation:
School of Mathematics, Trinity College, Dublin, Ireland
Email:
rharte@maths.tcd.ie
DOI:
10.1090/S0002-9939-07-08859-4
PII:
S 0002-9939(07)08859-4
Keywords:
ring,
algebraic closure,
invertibility
Received by editor(s):
September 28, 2005
Received by editor(s) in revised form:
July 10, 2006
Posted:
July 3, 2007
Additional Notes:
The first author was supported by Grant no. 144003 of Ministry of Science, Republic of Serbia
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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