Czechoslovak Mathematical Journal
نویسنده
چکیده
First, we give a complete description of the indecomposable prime modules over a Dedekind domain. Second, if R is the pullback, in the sense of [9], of two local Dedekind domains then we classify indecomposable prime R-modules and establish a connection between the prime modules and the pure-injective modules (also representable modules) over such rings.
منابع مشابه
Czechoslovak Mathematical Journal
Let α be an infinite cardinal. In this paper we define an interpolation rule IR(α) for lattice ordered groups. We denote by C(α) the class of all lattice ordered groups satisfying IR(α), and prove that C(α) is a radical class.
متن کاملCzechoslovak Mathematical Journal
In this paper we obtain all solutions which depend only on r for a class of partial differential equations of higher order with singular coefficients.
متن کاملCzechoslovak Mathematical Journal
Relations introduced by Conrad, Drazin, Hartwig, Mitsch and Nambooripad are discussed on general, regular, completely semisimple and completely regular semigroups. Special properties of these relations as well as possible coincidence of some of them are investigated in some detail. The properties considered are mainly those of being a partial order or compatibility with multiplication. Coincide...
متن کاملCzechoslovak Mathematical Journal
In this paper we introduce and investigate a Henstock-Kurzweil-type integral for Riesz-space-valued functions defined on (not necessarily bounded) subintervals of the extended real line. We prove some basic properties, among them the fact that our integral contains under suitable hypothesis the generalized Riemann integral and that every simple function which vanishes outside of a set of finite...
متن کامل