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1)  semiabundant semigroups
半富足半群
2)  abundant semigroup
富足半群
1.
Fuzzy Good Congruences on Abundant Semigroups;
富足半群上的F-好同余
2.
In this paper,first,we study fuzzy ideals on abundant semigroups by using Green*-relations L*,R* on semigroups defined by Fountain in and the natural partial order theory on abundant semigroups introduced by Lawson in [3],and give some properties of fuzzy ideals on such semigroups.
利用Fountain在文[1]中定义的半群S上的Green*-关系L*,R*及Lawson在文[3]中关于富足半群上的自然偏序理论研究了富足半群上的模糊理想,得到了富足半群上模糊理想的一些性质。
3.
In this paper,we study fuzzy ideals on abundant semigroups and get some properties of fuzzy ideals on such semigroups.
利用kuroki在文[9]中的结论,研究了富足半群上的模糊理想,得到了富足半群上模糊理想的一些性质,最后,通过举例,证明了富足半群在非正则的情形下,其上的模糊理想所具有的好性质。
3)  abundant semigroups
富足半群
1.
It is studied that so-called abundant semigroups with a right regular media idempotent.
研究所谓的具有右正则中间幂等元的富足半群,在给出右正则中间幂等元的概念之后,给出了具有右正则中间幂等元的富足半群的构造方法。
2.
In this paper,we discuss the properties of medial idempotents on abundant semigroups, study quasi-adequate semigroups with a normal medial idempotent and some extreme cases of such senngroups, and give the description of structure of every type of such semigroups, respectively.
从富足半群上中间幂等元的性质着手,研究具有正规中间幂等元的准充足半群的性质及若干极端情形,并分别给出各类半群的特征与构造。
4)  quasi-abundant semigroup
拟富足半群
1.
The abundant semigroup is generalized to quasi-abundant semigroup,Green*-relations are generalized to Green-relations accordly.
把富足半群推广到拟富足半群,相应的Green*-关系推广到Green-关系。
5)  orthodox superabundant semigroup
超富足半群
1.
A finite semigroup is an IC abundant semigroup satisfying the left rgularity condition if and only if it is an orthodox superabundant semigroup whose idempotents form a left regular band.
一个有限半群是满足左正则性条件的IC富足半群当且仅当它是一个幂等元形成左正则带的纯整超富足半群,但满足左正则性条件的无限IC富足半群不都是幂等元形成左正则带的纯整超富足半群。
6)  IC abundant semigroup
IC富足半群
1.
A finite semigroup is an IC abundant semigroup satisfying the left rgularity condition if and only if it is an orthodox superabundant semigroup whose idempotents form a left regular band.
一个有限半群是满足左正则性条件的IC富足半群当且仅当它是一个幂等元形成左正则带的纯整超富足半群,但满足左正则性条件的无限IC富足半群不都是幂等元形成左正则带的纯整超富足半群。
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