Journal: | Boletim da Sociedade Paranaense de Matematica |
Database: | PERIÓDICA |
System number: | 000365962 |
ISSN: | 0037-8712 |
Authors: | Danchev, Peter1 |
Year: | 2013 |
Volumen: | 31 |
Number: | 2 |
Pages: | 183-189 |
Country: | Brasil |
Language: | Inglés |
Document type: | Artículo |
Approach: | Experimental, analítico |
English abstract | We calculate Warfield p-invariants W ,p(V (RG)) of the group of nor- malized units V (RG) in a commutative group ring RG of prime char(RG) = p in each of the following cases: (1) G0/Gp is finite and R is an arbitrary direct product of indecomposable rings; (2) G0/Gp is bounded and R is a finite direct product of fields; (3) id(R) is finite (in particular, R is finitely generated). Moreover, we give a general strategy for the computation of the above Warfield p-invariants under some restrictions on R and G. We also point out an essential incorrectness in a recent paper due to Mollov and Nachev in Commun. Algebra (2011) |
Disciplines: | Matemáticas |
Keyword: | Matemáticas puras, Grupos abelianos, Anillos conmutativos, Invariante de Warfield |
Keyword: | Mathematics, Pure mathematics, Abelian groups, Commutative rings, Warfield invariant |
Full text: | Texto completo (Ver PDF) |