标题:
U-超富足半群上的偏序Partial Orders on U-Superabundant Semigroups
作者:
杨亚楠, 任学明
关键字:
U-超富足半群, 偏序, 相容性, 广义Clifford半群U-Superabundant Semigroups, Partical Order, Compatiblility, Generalized Clifford Semigroup
期刊名称:
《Pure Mathematics》, Vol.5 No.2, 2015-03-05
摘要:
定义了U-超富足半群(S,U)上的偏序≤l,≤r及≤。证明了偏序≤l关于(S,U)上的乘法是相容的,当且仅当(S,U)为局部广义Clifford半群。
The partial orders ≤l,≤r and ≤ on U-superabundant semigroups (S,U) are defined. It is pro- ved that the partial order ≤l about the multiplication on (S,U) is compatible if and only if that the U-superabundant semigroups (S,U) is a locally generalized Clifford semigroup.