再者，引进了分次半平坦模的概念，并有如下主要结果：环K是分次弱正则的当且仅当所有右K-模是分次半平坦的。

Next, the concept of graded semiflat module is introduced and proved that K is a group-graded weakly regular ring if and only if all right K-module is graded semiflat module.

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本文给出并证明了右遗传、右完备环上投射模的对偶模仍然是投射模。

This Paper gives and proves the dual module of a projective module over aright hereditary and right perfect ring is stil projective.

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是右半遗传环当且仅当任一右R模的两个上平坦子模的和上平坦；

R is semihereditary ring if and only if the sum of two coflat submodules of every R module is coflat module;

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证明了区间值三角模左连续的充要条件是保递增并，右连续的充要条件是保递减交。

It is proved that a triangular norm is left-continuous if and only if is increasing union-preserving, and is right-continuous if and only if is decreasing intersection-preserving.

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证明了区间值三角模左连续的充要条件是保递增并，右连续的充要条件是保递减交。

It is proved that a triangular norm is left-continuous if and only if is increasing union-preserving, and is right-continuous if and only if is decreasing intersection-preserving.

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