𝔖 Bobbio Scriptorium
✦   LIBER   ✦

( C , A )-Invariance of Modules over Principal Ideal Domains

✍ Scribed by Ito, Naoharu; Schmale, Wiland; Wimmer, Harald K.

Book ID
118207360
Publisher
Society for Industrial and Applied Mathematics
Year
2000
Tongue
English
Weight
176 KB
Volume
38
Category
Article
ISSN
0363-0129

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Linear maps preserving idempotence on ma
Linear maps preserving idempotence on matrix modules over principal ideal domains
✍ Liu Shaowu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 379 KB

Let R be a commutative principal ideal domain, T : Mn(R) --\* Mm(R) an R-linear map which preserves idempotence. We determine the forms of T when n >/m and R ~ Fz, and solve some of Beasley's open problems. As a consequence, we prove that the set -~(R) of all R-linear maps on Mn(R) which preserve bo

A category equivalence between homogeneo
A category equivalence between homogeneous completely decomposable abelian groups and modules over principal ideal domains
✍ Lutz StrΓΌengmann πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 91 KB

Let Z βŠ† R be a subgroup of the rationals and (S; ≀) a ΓΏnite poset. In this paper we introduce the category Rep(S; R) of homogeneous completely decomposable groups H of type R with distinguished homogeneous completely decomposable subgroups H i (i ∈ S) of the same type, respecting the order of S, i.e