北京工业大学学报
北京工業大學學報
북경공업대학학보
JOURNAL OF BEIJING POLYTECHNIC UNIVERSITY
2015年
9期
1437-1440
,共4页
形式幂级数环%表现维数%凝聚环
形式冪級數環%錶現維數%凝聚環
형식멱급수배%표현유수%응취배
formal power series ring%presented dimension%coherent ring
为了研究形式幂级数环的表现维数，基于对环与模的有限表现维数的研究，运用同调代数上的理论与方法，得到了R、R[[ x]]为凝聚环时，模的表现维数之间的关系以及环的表现维数之间的关系等结论。
為瞭研究形式冪級數環的錶現維數，基于對環與模的有限錶現維數的研究，運用同調代數上的理論與方法，得到瞭R、R[[ x]]為凝聚環時，模的錶現維數之間的關繫以及環的錶現維數之間的關繫等結論。
위료연구형식멱급수배적표현유수，기우대배여모적유한표현유수적연구，운용동조대수상적이론여방법，득도료R、R[[ x]]위응취배시，모적표현유수지간적관계이급배적표현유수지간적관계등결론。
Based on the research of finitely presented dimensions of modules and rings and by using the theory and method of homological algebra, presented dimensions of formal power series rings were described, and the relationship was obtained between presented dimensions of modules as well as between presented dimensions of rings when R,R[ [ x] ] are coherent rings.
