Solutions to Some Open Problems on Totally Ordered Monoids

ROSTISLAV HORClK

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Solutions to Some Open Problems on Totally Ordered Monoids

机译：关于完全有序半边形上的一些开放问题的解决方案

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In this article, solutions to three open problems on ordered commutative monoids posed in Evans et al. (2001, Semigroup forum, 62, 249-278) [4] are presented. By an ordered monoid, we always mean a totally ordered monoid. All the problems are related to the class of ordered commutative monoids which are homomorphic images of ordered free commutative monoids.

机译：在本文中，解决了Evans等人提出的关于有序可交换半式的三个开放问题。（2001，Semigroup论坛，62，249-278）提出[4]。所谓有序的类半群，总是指完全有序的类半群。所有的问题都与有序可交换类群的类有关，它们是有序自由可交换类群的同态图像。

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《Journal of logic and computation》 |2010年第4期|P.977-983|共7页
作者
ROSTISLAV HORClK;
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作者单位

Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod Voddrenskou vezi 2, 182 07 Prague 8, Czech Republic Department of Mathematics, Faculty of Electrical Engineering, Czech TechnicalUniversity in Prague, Technicka 2, 166 27 Prague 6, Czech Republic;

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正文语种 eng
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关键词
totally ordered commutative monoid; formally integral monoid; free commutative monoid; archimedean class; ordinal sum;

机译：完全有序的可交换monoid;形式上完整的类半体自由的可交换monoid;阿基米德阶级;序数总和;
入库时间 2022-08-17 13:03:43

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Solutions to Some Open Problems on Totally Ordered Monoids

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