【摘要】 本文对带零除子的交换环引入实Prfer环的概念;并推广了实域理论中有关实Prufer整环的一些结果.更多还原

【Abstract】 Griffin has extended the notion of Prufer domain to commutative rings with zerodivisors,obtaining what he calls Prufer rings. In this note,we introduce a certain kind of real-ity for Prufer rings and study their properties. We show that real Prufer rings are just T-con-vex subrings of a real total quotient ring,where T is a preordering of the given real ring.Next,we also show that every overring of a real Prufer ring is a real Prufer ring of the samereal ring.更多还原