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http://dx.doi.org/10.4134/CKMS.2002.17.3.409

ON THE MAXIMALITY OE PRIME IDEALS IN EXCHANGE RINGS  

Hong, Chan-Yong (Department of Mathematics Kyung Hee University)
Kim, Nam-Kyun (Department of Mathematics Yonsei University)
Kwak, Tai-Keun (Department of Mathematics Daejin University)
Publication Information
Communications of the Korean Mathematical Society / v.17, no.3, 2002 , pp. 409-422 More about this Journal
Abstract
We investigate the relationship between various generalizations of von Neumann regularity condition and the condition that every prime ideal is maximal in exchange rings.
Keywords
exchange rings; generalizations of von Neumann regular rings; maximal and prime ideals;
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  • Reference
1 On quasi-duo rings /
[ H. P. Yu ] / Glasgow Math. J.   DOI
2 On abelian π-regular rings /
[ A. Badawi ] / Comm. Algebra   DOI   ScienceOn
3 Rings all of whose Pierce stalks are local /
[ W. K. Burgess;W. Stephenson ] / Canad. Math. Bull.   DOI
4 Epimorphismen von kommutativen Ringen /
[ H. H. Storrer ] / Comment Math. Helv.   DOI
5 Completely prime ideals and associated radicals /
[ G. F. Birkenmeier;H. E. HeatherlyE. K. Lee ] / Proc. Biennial Ohio State-Denision Conference
6 Exchange rings and decompositions of modules /
[ R. B. Warfield ] / Math. Ann.   DOI
7 On rings whose projective modules have the exchange property /
[ J. Stock ] / J. Algebra   DOI
8 A characterization of exchange rings /
[ G. S. Monk ] / Proc. Amer. Math. Soc
9 On minimal strongly prime ideals /
[ C. Y. Hong;T. K. Kwak ] / Comm. in Algebra   DOI   ScienceOn
10 Regularity conditions and the simplicity of prime factor rings /
[] / J. Pure and Appl. Algebra   DOI   ScienceOn
11 On weak π-regularity of rings whose prime ideals are maximal /
[ C. Y. Hong;N. K. Kim;T. K. Kwak;Y. Lee ] / J. Pure and Applied Algebra   DOI   ScienceOn
12 Some results on quasi-duo rings /
[ Y. Lee;C. Huh ] / submitted
13 On the von Beumann regularity of rings with regular prime factor rings /
[ J. W. Fisher;R. L. Snider ] / Pacific J. Math.   DOI
14 Some studies on strongly π-regular rings /
[ Y. Hirano ] / Math. J. Okayama Univ.
15 Refinements for infinite direct decompositions of algebraic systems /
[ P. Crawley;B. Jonsson ] / Pacific J. Math.   DOI
16 Lifting idempotents and exchange rings /
[ W. K. Nicholson ] / Trans. Amer. Math. Soc.   DOI   ScienceOn
17 A connection between weak regularity and the simplicity of prime factor rings /
[ G. F. Birkenmeier;J. Y. Kim;J. K. Park ] / Proc. Amer. Math. Soc.   DOI   ScienceOn
18 On the structure of exchange rings /
[] / Comm. Algebra   DOI   ScienceOn
19 Weakly right duo rings /
[ Xue Yao ] / Pure and Appl. Math. Sci.
20 Some characterizations of π-regular rings of bounded index /
[] / Math. J. Okayama Univ.
21 On rings whose prime radical contains all nilpotent elements of index two /
[ Y. Hirano;D. V. Huynh;J. K. Park ] / Arch. Math.   DOI   ScienceOn