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.
出处
《数学研究》
CSCD
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 )
关键词
准素理想
半准素理想
强可逆序半群
(半)准素序半群
primary ideal
semiprimary ideal
strongly reversible ordered semigroup
primary(semiprimary) ordered semigroup
