A localization operator for rational modules
نویسندگان
چکیده
منابع مشابه
Rational Modules for Corings
The so called dense pairings were studied mainly by D. Radford in his work on coreflexive coalegbras over fileds [Rad73]. They were generalized in [G-T98] and [AG-TL2001] to the so called rational pairings over commutative ground rings to study the interplay between the comodules of an R-coalgebra C and the modules of an R-algebra A that admits an R-algebra morphism κ : A −→ C∗. Such pairings, ...
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For a coalgebraC , the rational functor Rat(−) : C∗ → C∗ is a left exact preradical whose associated linear topology is the family C , consisting of all closed and cofinite right ideals of C∗. It was proved by Radford (1973) that if C is right Noetherian (which means that every I ∈ C is finitely generated), then Rat(−) is a radical. We show that the converse follows if C1, the second term of th...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1989
ISSN: 0035-7596
DOI: 10.1216/rmj-1989-19-4-999