Semisimple Rings and Von Neumann Regular Rings of Generalized Power Series

Journal of Algebra

Volumn 198, Issue 2, 1997, Pages 327-338

  Ribenboim, Paulo ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001450519     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1997.7063     Document Type: Article

References (9)

1. Elliott G. A., Ribenboim P. Fields of generalized power series. Arch. Math. 54:1990;365-371.
2. P. Erdös, R. Radò
3. Goodearl K. R. Von Neumann Regular Rings. 1979;Plenum, London.
4. Higman G. Ordering by divisibility in abstract algebras. Proc. London Math. Soc. (3). 2:1952;326-336.
5. Neumann B. H. On ordered division rings. Trans. Amer. Math. Soc. 66:1949;202-252.
6. Ribenboim P. Rings and Modules. 1969;Wiley-Interscience, New York.
7. Ribenboim P. Rings of generalized power series: Nilpotent elements. Abh. Math. Sem. Univ. Hamburg. 61:1991;15-33.
8. Ribenboim P. Rings of generalized power series. II. Units and zero-divisors. J. Algebra. 168:1994;71-89.
9. Rosenstein J. G. Linear Orderings. 1982;Academic Press, New York.