兰州大学学报(自然科学版)
蘭州大學學報(自然科學版)
란주대학학보(자연과학판)
JOURNAL OF LANZHOU UNIVERSITY(NATURAL SCIENCES)
2013年
3期
384-388
,共5页
保序%连续横截面%半群%秩
保序%連續橫截麵%半群%秩
보서%련속횡절면%반군%질
order-preserving%continuous transversal%semigroup%rank
设自然数n≥5, Xn={1,2,···, n}, On是Xn上的保序变换半群, OCKn是On中核具有连续横截面的元所构成的子半群,证明了Kr={α∈OCKn:|imα|≤r}(1≤r≤n?1)的秩为nr.
設自然數n≥5, Xn={1,2,···, n}, On是Xn上的保序變換半群, OCKn是On中覈具有連續橫截麵的元所構成的子半群,證明瞭Kr={α∈OCKn:|imα|≤r}(1≤r≤n?1)的秩為nr.
설자연수n≥5, Xn={1,2,···, n}, On시Xn상적보서변환반군, OCKn시On중핵구유련속횡절면적원소구성적자반군,증명료Kr={α∈OCKn:|imα|≤r}(1≤r≤n?1)적질위nr.
Let n≥5, Xn={1, 2, · · · , n}, On be a semigroup of order-preserving transformations on Xn, OCKn be a subsemigroup consisting of a kernel with a continuous transversal in On, it was proved that the rank of Kr={α∈OCKn: |imα|≤r}(1≤r≤n?1) isnr.