应甘肃省数学与统计学基础学科研究中心、数学与统计学院邀请,云南师范大学王守峰教授将为学院师生作学术报告。
报告题目:A Munn type representation for DRC-restriction semigroups
报告摘要:The class of P-Ehresmann semigroups has been proposed by Jones as a common generalization of the classes of Ehresmann semigroups and regular *-semigroups, and the class of DRC semigroups introduced by Stokes contains the class of P-Ehresmann semigroups as a proper subclass. Jones has introduced P-ample conditions for P-Ehresmann semigroups by which P-restriction semigroups are distinguished from P-Ehresmann semigroups, and obtained a fundamental representation for P-restriction semigroups by generalized Munn semigroups constructed from special projection algebras. In this talk, we first introduce DRC-ample conditions for DRC semigroups by which DRC-restriction semigroups are discriminated from DRC semigroups. Then we propose and study generalized regular º-semigroups which play the roles of regular *-semigroups in the theory of Jones for P-restriction semigroups. Finally, we obtain a Munn type representation for DRC-restriction semigroups. Our result generalizes Jones's representation theory for P-restriction semigroups to DRC-restriction semigroups.。
报告时间:2025年7月27日9:00
报告地点:致勤楼C604报告厅
邀 请 人:乔虎生教授
报告人简介
王守峰,云南师范大学数学学院教授,2010年7月在西南大学获理学博士学位。主要从事半群的代数结构和图结构的研究工作,迄今为止,已在《Semigroup Forum》《Communications in Algebra》等重要杂志发表相关学术论文近40余篇,在半群理论的研究中获得许多重要的研究成果。主持完成国家自然科学基金项目3项,云南省自然科学基金项目1项。
数学与统计学院
甘肃省数学与统计学基础学科研究中心
2025年7月26日