• Korean Journal of Mathematics
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• v.30 no.1
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• pp.25-42
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• 2022

In this paper, we derive analogues of a couple of classes of infinite series identities with the confluent hypergeometric functions involving Dirichlet characters.

• Journal of the Korean Mathematical Society
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• v.48 no.1
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• pp.169-178
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• 2011

In this paper, we find character analogues of infinite series identities which come from a certain modular transformation formula given by B. C. Berndt.

• Journal of the Korean Mathematical Society
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• v.61 no.1
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• pp.109-132
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• 2024

The Clifford algebra of a direct sum of real quadratic spaces appears as the superalgebra tensor product of the Clifford algebras of the summands. The purpose of the current paper is to present a purely settheoretical version of the superalgebra tensor product which will be applicable equally to groups or to their non-associative analogues - quasigroups and loops. Our work is part of a project to make supersymmetry an effective tool for the study of combinatorial structures. Starting from group and quasigroup structures on four-element supersets, our superproduct unifies the construction of the eight-element quaternion and dihedral groups, further leading to a loop structure which hybridizes the two groups. All three of these loops share the same character table.

• Lingua Humanitatis
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• v.2 no.2
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• pp.321-347
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• 2002

The Russian language uses more words that imply collectivism than Western Indo-European languages. In Korean, the first-person plural pronouns are used more often than in Western languages. In this respect, Russian seems to stand closer to the latter, although typologically it belongs to the Indo-European family. The predominance of 'we' over 'I,' which took place in the history of the Russian language, had something to do with the Russian commune and the ecclesiastical and spiritual concept of 'sobornost' (equation omitted). A similarity between the Russian and the Korean nations lies in a collective way of life as compared to Western nations. The Russian concepts of (equation omitted) and (equation omitted) ('commune') have direct analogues in the Korean language. In all societies a commune involves a certain sense of collectivity, or spiritual unity of the people - 'sobornost' (equation omitted). Korean collectivity is more familial and moral in character, whereas Russian 'sobornost' is more spiritual. This has its direct reflection in Korean and Russian languages. One can say that a sort of a family version of Russian 'sobornost' takes place in Korean society.

• Journal of the Korean Mathematical Society
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• v.48 no.1
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• pp.191-205
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• 2011

It is well known that for a Krull domain R, the divisor class group of R is a torsion group if and only if every subintersection of R is a ring of quotients. Thus a natural question is that under what conditions, for a non-Krull domain R, every (t-)subintersection (resp., t-linked overring) of R is a ring of quotients or every (t-)subintersection (resp., t-linked overring) of R is at. To address this question, we introduce the notions of *-compact packedness and *-coprime packedness of (an ideal of) an integral domain R for a star operation * of finite character, mainly t or w. We also investigate the t-theoretic analogues of related results in the literature.