| 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) |
