具有Krull维数的半素环A Semiprime Ring with Krull Dimension
辛林;
摘要(Abstract):
本文讨论了半素环的闭理想性质,引进了强Kasch环的概念并给出半素环是强Kasch环的充分必要条件,最后讨论了强Kasch半素环上具有Krull维数的模的内射包络的自同态环。
关键词(KeyWords): Krull维数;闭理想;Kasch环;半素环
基金项目(Foundation):
作者(Authors): 辛林;
参考文献(References):
- [1] Gordon Robert, Robson J C. Krull Dimension. Memo. Amer. Math. Soc., 1973(133) .
- [2] Kasch F. Modules and Rings. London: Academic Press, 1982.
- [3] Faith C. Algebra I Rings, Modules and Categories. Berlin Heidelberg New York: Springer-Verlag, 1981.
- [4] Bo Stenstrm. Rings of Quotients. Berlin Heidelberg New York: Springer-Verlag. 1975.