Bezout and semihereditary power series rings

Journal of Algebra

Volumn 270, Issue 1, 2003, Pages 150-168

  Herbera, Dolors ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345448103     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(03)00418-6     Document Type: Article

References (15)

1. F.W. Anderson, K.R. Fuller, Rings and Categories of Modules, 2nd edition, Springer-Verlag, New York, 1992.
2. 0-injective regular rings, J. Pure Appl. Algebra 42 (1986) 109-115.
3. J.W. Brewer, Power series rings over commutative rings, in: Lecture Notes in Pure and Appl. Math., Vol. 64, Dekker, New York, 1981.
4. J. Brewer, E. Rutter, J. Watkins, Coherence and weak global dimension of R x when R is von Neumann regular, J. Algebra 46 (1977) 278-289.
5. W. Dicks, A.H. Schofield, On semihereditary rings, Comm. Algebra 16 (1988) 1243-1274.
6. K.R. Goodearl, Von Neumann Regular Rings, 2nd edition, Krieger, Malabar, 1991.
7. 0-continuous regular rings, Pacific J. Math. 100 (1982) 105-122.
8. K.R. Goodearl, J. Moncasi, Cancellation of finitely generated modules over regular rings, Osaka J. Math. 26 (1989) 679-685.
9. J. Goursaud, J. Valette, Anneaux de groupe héréditaires et semi-héréditaires, J. Algebra 34 (1975) 205-212.
10. D. Handelman, Homomorphisms of C*-algebras to finite AW*-algebras, Michigan Math. J. 28 (1981) 229-240.
11. D. Herbera, Sobre anells tals que els seus mòduls finitament generats fidels sïón generadors, PhD thesis, UAB, 1992.
12. D. Herbera, Bezout and semihereditary power series rings, AMS Abstracts 882-16-188 (1993).
13. Y. Hirano, C.-Y. Hong, J.-Y. Kim, J. Park, On Strongly bounded rings and duo rings, Comm. Algebra 23 (1995) 2199-2214.
14. 0-self-injectivity of strongly regular rings, Comm. Algebra 27 (1999) 1501-1513.
15. P. Menal, Sobre anillos de polinomios que son anillos de Bezout, Collect. Mat. 31 (1980) 230-241.