Standard character condition for table algebras.
Let be a weak torsion class of left -modules and a positive integer. A left -module is called -injective if for each -presented left -module ; a right -module is called -flat if for each -presented left -module ; a left -module is called -projective if for each -injective left -module ; the ring is called strongly -coherent if whenever is exact, where is -presented and is finitely generated projective, then is -projective; the ring is called -semihereditary...
We describe an approach to determining, up to pseudoisomorphism, the structure of a central-torsion module over the Iwasawa algebra of a pro-, -adic, Lie group containing no element of order . The techniques employed follow classical methods used in the commutative case, but using Ore’s method of localisation. We then consider the properties of certain invariants which may prove useful in determining the structure of a module. Finally, we describe the case of pro- subgroups of in detail and...