U-超富足半群上的偏序
Partial Orders on U-Superabundant Semigroups
DOI: 10.12677/PM.2015.52008, PDF, HTML, XML, 下载: 2,848  浏览: 9,242  国家自然科学基金支持
作者: 杨亚楠, 任学明:西安建筑科技大学理学院,陕西 西安
关键词: 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
摘要: 定义了U-超富足半群(S,U)上的偏序≤l,≤r。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。
Abstract: 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.
文章引用:杨亚楠, 任学明. U-超富足半群上的偏序[J]. 理论数学, 2015, 5(2): 54-58. http://dx.doi.org/10.12677/PM.2015.52008