关于强可逆半准素序半群  

On Strongly Reversible Semiprimary Ordered Semigroups

作　　者：李颖[1] 许新斋[1] 林西芹[1] 

机构地区：[1]山东师范大学数学科学学院,山东济南250014

出　　处：《数学研究》2004年第4期426-430,共5页Journal of Mathematical Study

基　　金：山东自然科学基金项目 (Y99A0 3);山东教育厅科技计划资助项目 (J0 1 P0 1 )

摘　　要：把由 G. Thierrin和 A. Spoletini- Cherubini等人定义并研究的强可逆半群以及由 S.Bogdanovic研究的半准素半群分别推广为强可逆序半群和半准素序半群 .分别给出了半准素序半群和强可逆序半群类中的半准素序半群的刻划 ,还给出了其所有理想是素理想的强可逆序半群的刻划 .The strongly reversible semigroups were defined and studied by G. Thierrin and A. spoletine-Cherubini. The semiprimary semigroups were studied by S. Bogdanovi. In this paper, they are extened into the strongly reversible ordered semigroups and semiprimary ordered semigroups respectively. Charaterizations to the semiprimary ordered semigroups and those in the class of the strongly reversible ordered semigroups are given respectively. Also characterizations to the strongly reversible ordered semigroups in which all ideals are prime are given.

关 键 词：准素理想 半准素理想 强可逆序半群 (半)准素序半群 

分 类 号：O152.7[理学—数学]