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About two special ordered semigroup research

Author: Fan
Tutor: ZhaoXianZhong
School: Northwestern University
Course: Basic mathematics
Keywords: Archimedean ordered semigroups l (r, t)-Archimedean ordered semigroups π-regular ordered semigroups π- regular ordered semigroups
CLC: O152.7
Type: Master's thesis
Year: 2010
Downloads: 23
Quote: 0
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Abstract


Partial order algebraic theory of semigroups is still today the most active research areas of algebra two types of partial order semigroup, and give some of their properties and their characterizations paper also study partial order semigroups and filters as well as the ideal relationship between the main results are as follows : 1 . study the the ordered semigroup principal ideal basic properties and how these properties ordered semigroup Green portrayed . further , this article introduces the four categories Archimedean ordered semigroups , discuss the use main ideal and Green relations the four categories Archimedean Ordered Semigroups nature .2 l (r ) the relationship between several ideal - archimedean ordered semigroups and l (r)-Archimedean sequence given semigroup based on the characterization of the relationship between several ideal paper with single- semigroup, within the regular ordered semigroups characterize the class of Archimedean ordered semigroups is given four categories Archimedean ordered semigroup portrayed in some special cases . .3 studied special ordered semigroup - π-( within ) the regular ordered semigroups , discuss some properties of these two types of ordered semigroups on ideal nature and ideal types characterize these two types of ordered semigroups . Meanwhile, in a particular case two types of sequence the semigroup of filters and filters to characterize these two types of special sequence semigroup .

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