Certain Partial Orders on Semigroups

被引:0
作者
Mario Petrich
机构
[1] Univesity of Zagreb,Department of Mathematics
来源
Czechoslovak Mathematical Journal | 2001年 / 51卷
关键词
semigroup; regular; completely semisimple; completely regular; band of groups; normal band of groups; partial order; compatible with multiplication; coincidence of relations;
D O I
暂无
中图分类号
学科分类号
摘要
Relations introduced by Conrad, Drazin, Hartwig, Mitsch and Nambooripad are discussed on general, regular, completely semisimple and completely regular semigroups. Special properties of these relations as well as possible coincidence of some of them are investigated in some detail. The properties considered are mainly those of being a partial order or compatibility with multiplication. Coincidences of some of these relations are studied mainly on regular and completely regular semigroups.
引用
收藏
页码:415 / 432
页数:17
相关论文
共 12 条
  • [1] Burgess W. D.(1978)On Conrad's partial order relation on semiprime rings and on semigroups Semigroup Forum 16 133-140
  • [2] Raphael R.(1975)The hulls of semiprime rings Bull. Austral. Math. Soc. 12 311-314
  • [3] Conrad P. F.(1986)A partial order in completely regular semigroups J. Algebra 98 362-374
  • [4] Drazin M.P.(1980)How to partially order regular elements Math. Japon. 25 1-13
  • [5] Hartwig R. E.(1956)The Trans. Amer. Math. Soc. 83 70-97
  • [6] Hewitt E.(1986)-algebra of a commutative semigroup Proc. Amer. Math. Soc. 97 384-388
  • [7] Zuckerman H. S.(1980)A natural partial order for semigroups Proc. Edinburgh Math. Soc. 23 249-260
  • [8] Mitsch H.(1972)The natural partial order on a regular semigroup Trans. Amer. Math. Soc. 170 245-269
  • [9] Nambooripad K. S. S.(1981)Regular semigroups satisfying certain conditions on idempotents and ideals Semigroup Forum 23 201-220
  • [10] Petrich M.(1958)On the variety of Cliffordean semigroups Math. Ann. 136 326-338