关于MHR-模及Szasz的一个问题

On MHR-modules and a Problem of Szasz

本文推广了Bjork定理,证明了任何MHR-环适合有限生成右理想极小条件,完全解决了Szasz在文献[1]中提出的问题31,并证明了任何s-酉 MHR-环上的n阶全阵环仍是s-酉 MHR-环。

This note generalizes the Bjork theorem, proving that every MHR-ring satisfies the minimum condition for finitely generated right ideals, hence completely solving the problem 31 in Szasz's book [1]; and shows that the n by n matrix ring over an s-unital MHR-ring is still an s-unital MHR-ring.