On Mockor’s Question
نویسنده
چکیده
For certain classes of Prüfer domains A, we study the completion Â,T ofA with respect to the supremum topology T = sup{Tw|w ∈ Ω}, where Ω is the family of nontrivial valuations on the quotient field which are nonnegative on A and Tw is a topology induced by a valuation w ∈ Ω. It is shown that the concepts ‘SFT Prüfer domain’ and ‘generalized Dedekind domain’ are the same. We show that if E is the ring of entire functions, then Ê,T is a Bezout ring which is not a T̂ -Prüfer ring, and if A is an SFT Prüfer domain, then Â,T is a Prüfer ring under a certain condition. We also show that under the same conditions as above, Â,T is a T̂ -Prüfer ring if and only if the number of independent valuation overrings of A is finite. In particular, if A is a Dedekind domain (resp., h-local Prüfer domain), then Â,T is a T̂ -Prüfer ring if and only if A has only finitely many prime ideals (resp., maximal ideals). These provide an answer to Mockor’s question.
منابع مشابه
Investigating Embedded Question Reuse in Question Answering
The investigation presented in this paper is a novel method in question answering (QA) that enables a QA system to gain performance through reuse of information in the answer to one question to answer another related question. Our analysis shows that a pair of question in a general open domain QA can have embedding relation through their mentions of noun phrase expressions. We present methods f...
متن کاملQuestion answer relationship strategy increases reading comprehension among Kindergarten students
The Question Answer Relationship (QAR) strategy equips students with tools to successfully decode and comprehend what they read. An action research project over 18 days with twenty-three kindergarteners adapted exposure to QAR’s “In the Book” and “In my Head” categories with similar questions for each of two popular Aesop’s fables. The challenges and outcomes are presented with sp...
متن کاملAssessment of Qualitative and Quantitative Indexes of Clerkship Tests in General Medicine
Introduction: Using multiple choice question tests, as an objective testing method, is the most common students evaluation procedure , and it is very important to design these tests properly.This study aimed to assess clerkship tests of general medicine courses in the training group of dermatology, psychiatry, gynecology, ophthalmology and neurology of medical college of Isfahan University of M...
متن کاملUsing Generalized Language Model for Question Matching
Question and answering service is one of the popular services in the World Wide Web. The main goal of these services is to finding the best answer for user's input question as quick as possible. In order to achieve this aim, most of these use new techniques foe question matching. . We have a lot of question and answering services in Persian web, so it seems that developing a question matching m...
متن کامل