zero semigroup 中文意思是什麼
zero semigroup
解釋
零半群-
It is shown that if l is a modular lattice with finite length, and with 0, 1 the least and the largest elements in l respectively, then 1 is the union of some minimal elements in l if and only if 0 is the intersection of some maximal elements in l, if and only if each non - zero element in l is the union of some minimal elements in l. by using these results, we give the necessary and sufficient conditions of an algebra module, module, ring, group and semigroup, respectively, to be semisimple
最後得出有限生成的ps -系是noetherian （ artinian ）系的充要條件是它關于本質子系滿足升鏈（降鏈）條件。第二章給出了一個模格是半單的若干充要條件。得到：有有限長度的模格l上，最大元1是若干極小元的並當且僅當最小元0是若干極大元的交，當且僅當l中任意非零元可表示為若干極小元的並。
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