半群

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Definition:
AllAll,semigroupsemigroup,demigroupdemigroup,semigroupssemigroups,hemigrouphemigroup,monoidmonoid
Category:AllAll,OralOral,WrittenWritten,TitleTitle,TechnicalTechnical
Source:AllAll,DictionaryDictionary,WebWeb
Difficulty:AllAll,EasyEasy,MiddleMiddle,HardHard
1.
Finally, sufficient and necessary conditions for a fuzzy good congruence on an adequate semigroup to be idempotent-separated are proved.
最后，得到了适当半群上的模糊好同余为幂等可分的充要条件。
zuì hòu , dé dào le shì dàng bàn qún shàng de mó hu hǎo tóng yú wèi mì děng kě fēn de chōng yào tiáo jiàn 。
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2.
In this paper, we introduce the concept of pre-homomorphism and characterize F-abundant semigroups in terms of pre- homomorphisms .
主要是通过引入了预同态这一新的概念阐述F-富足半群的结构。
zhǔ yào shì tōng guò yǐn rù le yù tóng tài zhè yī xīn de gài niàn chǎn shù F- fù zú bàn qún de jié gòu 。
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3.
Since the identity element of a monoid is unique, one can alternately define the identity function on M to be this identity element.
因为么半群的单位元是唯一的，可以以M上的单位元来替代其恒等函数的定义。
yīn wèi me bàn qún de dān wèi yuán shì wéi yī de , kě yǐ yǐ M shàng de dān wèi yuán lái tì dài qí héng děng hán shù de dìng yì 。
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4.
In this paper we introduce the notion of a normal fuzzy left(resp. right) ideal in a semigroup , and investigate some of its properties.
本文引入了半群的正规左（右）模糊理想的概念，研究了这类模糊理想的性质。
běn wén yǐn rù le bàn qún de zhèng guī zuǒ ( yòu ) mó hu lǐ xiǎng de gài niàn , yán jiū le zhè lèi mó hu lǐ xiǎng de xìng zhì 。
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5.
This paper gives necessary and sufficient conditions for the semidirect product of two semigroups to be completely Archimedean semigroups.
利用代数半群的相关知识，给出了两个半群的半直积是完全阿基米德半群的充要条件。
lì yòng dài shù bàn qún de xiāng guān zhī shi , gěi chū le liǎng gè bàn qún de bàn zhí jī shì wán quán ā jī mǐ dé bàn qún de chōng yào tiáo jiàn 。
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6.
The results on S-acts and ordered semigroups can be also obtained as applications of the results of this paper.
作为应用，本文的所有结论对序半群及S-系（可看作平凡序的序S-系）中均成立。
zuò wéi yìng yòng , běn wén de suǒ yǒu jié lùn duì xù bàn qún jí S- xì ( kě kàn zuò píng fán xù de xù S- xì ) zhōng jūn chéng lì 。
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7.
Existence of product in semigroup category is proved, and semigroup category to be concrete category is also proved.
给出了半群范畴的概念，证明了半群范畴中积是存在的，并且半群范畴是具体范畴。
gěi chū le bàn qún fàn chóu de gài niàn , zhèng míng le bàn qún fàn chóu zhōng jī shì cún zài de , bìng qiě bàn qún fàn chóu shì jù tǐ fàn chóu 。
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8.
A semigroup is said to be periodic if all of its elements are of finite order.
半群被称为周期性的，如果所有它的元素有着有限次序。
bàn qún bèi chēng wéi zhōu qī xìng de , rú guǒ suǒ yǒu tā de yuán sù yǒu zhe yǒu xiàn cì xù 。
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9.
A semigroup generated by a single element is said to be monogenic (or cyclic ).
被一个单一元素生成的半群叫做单基因的（或循环的）。
bèi yī gè dān yī yuán sù shēng chéng de bàn qún jiào zuò dān jī yīn de ( huò xún huán de ) 。
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10.
As an application, some similar results are explored for regular semigroups with inverse transversals.
作为应用，给出了含拟理想逆断正则半群的一类类似的新结果。
zuò wéi yìng yòng , gěi chū le hán nǐ lǐ xiǎng nì duàn zhèng zé bàn qún de yī lèi lèi sì de xīn jié guǒ 。
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