具有逆断面的正规纯正半群

数学季刊 ›› 2003, Vol. 18 ›› Issue (2): 198-204.

具有逆断面的正规纯正半群

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

收稿日期:2002-06-17 出版日期:2003-06-30 发布日期:2024-04-17
作者简介:A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band.We deal with congruences on a normal orthodox semigroup with an inverse transversal.A structure theorem for such semigroup is obtained.Munn(1966)gave a fundamental inverse semigroup. Following Munn's idea,we give a fundamental normal orthodox semigroup with an inverse transversal.

Normal Orthodox Semigroups with Inverse Transversals

Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received:2002-06-17 Online:2003-06-30 Published:2024-04-17
About author:A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band.We deal with congruences on a normal orthodox semigroup with an inverse transversal.A structure theorem for such semigroup is obtained.Munn(1966)gave a fundamental inverse semigroup. Following Munn's idea,we give a fundamental normal orthodox semigroup with an inverse transversal.

摘要/Abstract

摘要： A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band.We deal with congruences on a normal orthodox semigroup with an inverse transversal.A structure theorem for such semigroup is obtained.Munn(1966)gave a fundamental inverse semigroup. Following Munn's idea,we give a fundamental normal orthodox semigroup with an inverse transversal.

关键词: regular semnigroup, inverse transversal, normal band

Abstract: A normal orthodox semigroup is an orthodox semigroup whose idempotent elements form a normal band.We deal with congruences on a normal orthodox semigroup with an inverse transversal.A structure theorem for such semigroup is obtained.Munn(1966)gave a fundamental inverse semigroup. Following Munn's idea,we give a fundamental normal orthodox semigroup with an inverse transversal.

中图分类号:

O152.7

朱凤林. 具有逆断面的正规纯正半群[J]. 数学季刊, 2003, 18(2): 198-204.

ZHU Feng-lin . Normal Orthodox Semigroups with Inverse Transversals[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(2): 198-204.