Given any [c],[a],[d]∈R/M such that [d]≤[a]≤[c], [a] is locally noncuppable between [c] and [d] if [d]<[a] ≤[c]and [a] V [b] < [c] for any [b]∈R/M such that [d]≤ [ b ] < [ c ]. It will be shown that giv...Given any [c],[a],[d]∈R/M such that [d]≤[a]≤[c], [a] is locally noncuppable between [c] and [d] if [d]<[a] ≤[c]and [a] V [b] < [c] for any [b]∈R/M such that [d]≤ [ b ] < [ c ]. It will be shown that given any nonzero [ c ] ∈ R/M, there are [ a ], [ d ]∈ R/M such that [d]<[a]≤[c] and[a] is locally noncuppable between [ c ] and[d].展开更多
基金This work was partially supported by the National Natural Science Foundation of China (Grant No. 19971090).
文摘Given any [c],[a],[d]∈R/M such that [d]≤[a]≤[c], [a] is locally noncuppable between [c] and [d] if [d]<[a] ≤[c]and [a] V [b] < [c] for any [b]∈R/M such that [d]≤ [ b ] < [ c ]. It will be shown that given any nonzero [ c ] ∈ R/M, there are [ a ], [ d ]∈ R/M such that [d]<[a]≤[c] and[a] is locally noncuppable between [ c ] and[d].