Clean-like properties in pullbacks and amalgamation rings
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We study the transfer of the notions of clean rings, weakly clean rings, almost clean rings and unit regular rings to various context of pullbacks and amalgamations. Our attempt is to present original and new classes of these rings.
Key words and phrasesclean ring weakly clean ring almost clean ring unit regular ring pullbacks amalgamation
Mathematics Subject Classificationprimary 13A15 13F05 secondary 13G05 13F30
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The author expresses his sincere thanks to the referee for helpful suggestions and comments, which have greatly improved this paper.
- 1.M. S. Ahn, Weakly clean and almost clean rings, Ph.D. thesis, University of Iowa (2003).Google Scholar
- 5.M. D’Anna, C. A. Finocchiaro and M. Fontana, Amalgamated algebras along an ideal, in : Commutative Algebra and its Applications, Walter de Gruyter (Berlin, 2009), pp. 241–252.Google Scholar
- 8.M. F. Atiyah and I. G. MacDonald, Introduction to Commutatice Algebra, Addison-Wesley (1969).Google Scholar
- 18.M. Nagata, Local Rings, Interscience (New York, 1962).Google Scholar