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On regular duo po-Γ-semigroups

机译:在常规二重po-Γ-半群上

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There are two definitions of ?“-semigroups and investigations for both of them in the bibliography. The definition given by Sen in 1981, and the definition given by Sen and Saha in 1986. In this paper we show the way we pass from ordered semigroups to ordered ?“-semigroups no matter which one of the two definitions we use. Moreover we show that, exactly as in ordered semigroups, in many results of ordered ?“-semigroups points do not play any essential role, but the sets, which shows their pointless character. Under the methodology using in this paper, all the results of ordered semigroups can be transferred into ordered ?“-semigroups.
机译:参考书目中有两个“?”半族的定义和对它们的研究。 Sen在1981年给出的定义,以及Sen和Saha在1986年给出的定义。在本文中,我们显示了无论使用两种定义中的哪一种,我们都从有序半群传递到有序“?”-半群的方式。此外,我们证明,与有序半群中一样,在许多有序“​​”-半群点的结果中,它们并没有扮演任何重要角色,而是集,这表明了它们毫无意义。在本文使用的方法下,所有有序半群的结果都可以转换成有序的“β-半群”。

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