وثيقة

When is a fixed ring comparable to all overrings?

مؤلف
عنوان الدورية
Journal of Algebra and its Applications
دولة النشر
Kingdom of Bahrain
مكان النشر
sakhir, bahrain
الناشر
University of Bahrain
تاريخ النشر
2022
اللغة
English
الملخص الإنجليزي
Abstract: An overring Ro of an integral domain R is said to be comparable if Ro = R, Ro = qf(R), and each overring of R is comparable to Ro under inclusion. We do provide necessary and sufficient conditions for which R has a comparable overring. Several consequences are derived, specially for minimal overrings, or in the case where the integral closure R of R is a comparable overring, or also when each chain of distinct overrings of R is finite.
المجموعة
المعرف
https://digitalrepository.uob.edu.bh/id/3db4c550-0ae2-4efb-9119-060db96c5e96