• Korean Journal of Mathematics
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• v.30 no.3
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• pp.513-524
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• 2022

In this paper, we introduce the notion of tensor product in groups and prove its existence and uniqueness. Next, we provide the Isbell's zigzag theorem for dominions in commutative groups. We then show that in the category of commutative groups dominions are trivial. This enables us to deduce a well known result epis are surjective in the category of commutative groups.

• Journal of applied mathematics & informatics
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• v.41 no.4
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• pp.707-722
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• 2023

The purpose of this paper is to obtain the commutativity of a gamma dominion for a commutative gamma semigroup by using Isbell zigzag theorem for gamma semigroup and we prove some gamma semigroup identities are preserved under epimorphism. Moreover, we extend epimorphism, dominion and Isbell zigzag theorem for partially ordered semigroup to partially ordered gamma semigroup.

• The Korean Journal of Archival Studies
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• no.50
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• pp.389-423
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• 2016

This paper aims at examining the local records management under the influence of the Public Archives Act established in 2009 through a case study of prefectures and large cities with prefectural level dominions in Japan. The records management in local government has been carried out on the basis of 'the document management rule' in administrative agencies without the public archives management law. Modification of laws and ordinances in relation with records and archives management and reorganization of archives are proceeding to realize 'proper records management' in local government. Even if the content and levels are varied due to the situational conditions of local governments, the unitary records management system covering 'current and non-current' records is being adopted through the establishment of records management ordinances. In the process, local archives are pursuing strengthening and extension of their authorities and functions on records management. In addition, it is identified that observation of the provisions of records management ordinance is reinforced with public announcement of retention schedule and operation of public records management committees. These changes in local governments reflect the thought that administrative records are the intellectual property of the public and the intent of the law that accountability for the public should be achieved through the proper records management.