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On a structure of the closure semigroup.

Bulletin of the Faculty of Education, Yamaguchi University. Natural science Volume 19 Issue 2 Page 19-22
published_at 1970-03
Title
On a structure of the closure semigroup.
Creators Yamamoto Mankazu
Source Identifiers
In this paper we have studied a certain structure of the closure semigroup. R. E. Johnson has studied a structure of the faithful rings with the aid of a closure operation. While, the transition from the elements of a ring to its ideals can also be regarded as a certain kind of completion process. This method has been studied extensively by H. Prufer in domains of integrity and generalized by Lorenzen (1) to partially ordered groups. The ideal systems are of great importance in partially ordered groups. Now, applying the conception of a ideal system to semigroups, we define a closure semi group and its ideal as usual. A semigroup S is called a closure semigroup which satisties the following conditions
Subjects
自然科学 ( Other)
Languages eng
Resource Type departmental bulletin paper
Publishers 山口大学教育学部
Date Issued 1970-03
File Version Not Applicable (or Unknown)
Access Rights metadata only access
Relations
[ISSN]0513-1693
[NCID]AN00243950
Schools 教育学部