• 호남수학학술지
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• 제33권3호
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• pp.347-353
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• 2011

In [1], Maffei proved a certain relationship between quiver varieties of type A and the geometry of partial flag varieties over the nilpotent cone. This relation was conjectured by Naka-jima, and Nakajima proved his conjecture for a simple case. In the Maffei's proof, the key step was a reduction of the general case of the conjecture to the simple case treated by Nakajima through a certain isomorphism. In this paper, we study properties of this isomorphism.

• 대한수학회보
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• 제60권3호
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• pp.747-762
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• 2023

ω-left-symmetric algebras contain left-symmetric algebras as a subclass and the commutator defines an ω-Lie algebra. In this paper, we classify ω-left-symmetric algebras in dimension 3 up to an isomorphism based on the classification of ω-Lie algebras and the technique of Lie algebras.

• 충청수학회지
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• 제15권2호
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• pp.1-12
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• 2003

L. H. Encinas, A. J. Menezes, and J. M. Masque in [2] proposed a classification of isomorphism classes of hyperelliptic curve of genus 2 over finite fields with characteristic different from 2 and 5. Y. Choie and D. Yun in [1] obtained for the number of isomorphic classes of hyperelliptic curves of genus 2 over $F_q$ using direct counting method. In this paper we will classify the isomorphism classes of hyperelliptic curves of genus 2 over $F_{2^n}$ for odd n, represented by an equation of the form $y^2+a_5y=x^5+a_8x+a_{10}(a_5{\neq}0)$.

• Kyungpook Mathematical Journal
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• 제61권2호
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• pp.223-237
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• 2021

Let n be a fixed natural number. Menger algebras of rank n can be regarded as a canonical generalization of arbitrary semigroups. This paper is concerned with studying algebraic properties of Menger algebras of rank n by first defining a special class of full n-place functions, the so-called a left translation, which possess necessary and sufficient conditions for an (n + 1)-groupoid to be a Menger algebra of rank n. The isomorphism parts begin with introducing the concept of homomorphisms, and congruences in Menger algebras of rank n. These lead us to establish a quotient structure consisting a nonempty set factored by such congruences together with an operation defined on its equivalence classes. Finally, the fundamental homomorphism theorem and isomorphism theorems for Menger algebras of rank n are given. As a consequence, our results are significant in the study of algebraic theoretical Menger algebras of rank n. Furthermore, we extend the usual notions of ordinary semigroups in a natural way.

• 충청수학회지
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• 제9권1호
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• pp.1-9
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• 1996

In this paper, we consider the quotient algebra of BCI-semigroups, and obtain some isomorphism theorems of BCI-semigroups.

• 호남수학학술지
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• 제1권1호
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• pp.77-81
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• 1979

Almost mathematicians wish to study on the classification of the objects within isomorphism and determination of effective and computable invariants to distinguish the isomorphism classes. In topology, the concepts of homotopy and homeomorphism are such examples. In this lecture I shall speak of with respect to (i) Thom's cobordism group (ii) Cobordism category (iii) finally, the semigroup in cobordism category is isomorphic to the Thom's cobordism group.

• Journal of applied mathematics & informatics
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• 제13권1_2호
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• pp.413-424
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• 2003

L. H Encinas, A. J. Menezes and J. M. Masque in [3] proposed a classification of isomorphism classes of hyperelliptic curve of genus 2 over finite fields with characteristic different from 2 and 5. Y. Choie and D. Yun in [2] obtained the number of isomorphic classes of hyperelliptic curves of genus 2 over $F_{2-}$ using direct counting method. We have obtained isomorphism classes of hyperelliptic curves of genus 2 over $F_{2n}$ for odd n, represented by an equation of the form $y^2$ + $a_{5}$ y = $x^{5}$ + $a_{8}$ x + $a_{10}$ ( $a_{5}$ $\neq$0) [1]. In this paper we characterize hyperelliptic curves of genus 2 over $F_{2n}$ for even n, represented by an equation of the form $y^2$ + $a_{5}$ y = $x^{5}$ + $a_{5}$ x + $a_{10}$ ( $a_{5}$ $\neq$0).>0).

• 한국콘텐츠학회논문지
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• 제13권2호
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• pp.412-419
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• 2013

차별화가 경쟁우위의 필수적인 요건으로 인식되고 있음에도 불구하고 기업이 운영하고 있는 인사제도의 측면에서 본다면 오히려 그 반대의 모습을 발견할 수 있다. 각 기업은 차이점으로 구분되기 보다는 동질적인 측면을 보다 많이 찾아볼 수 있다. 본 연구는 선행연구에서 제시된 개별 기업간 인사제도의 유사성에 대한 논의를 이론적인 차원에서 보다 면밀히 구조화하고자 하였다. 본 연구는 이론적 차원에서 동형화와 관련된 기존 논의를 구체적으로 제시하고, 이를 토대로 각 기업의 인사제도 도입에 따른 동학적 특성을 탐색적인 차원에서 분석하여 인적자원관리의 현실적인 시사점을 찾아보는 것을 목적으로 하였다. 본 연구는 선행연구에서 제시된 개별 기업간 인사제도의 유사성에 대한 논의를 탐색적 차원에서 보다 체계적으로 논의하였다. 또한 신제도주의적 관점에서 동형화와 관련된 기존 논의를 제시하고, 이를 토대로 각 기업의 서로 유사한 인사제도 도입에 따른 동학적 특성을 기존 연구를 바탕으로 분석하였다.

• 한국수학교육학회지시리즈A:수학교육
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• 제45권1호
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• pp.123-138
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• 2006

In this paper, we confirm through surveys and interviews that it helps students in solving a problem counting the number of combinations to find a structural isomorphism between the given problem and a typical problem with the same mathematical structure. Then we suggest that a problem of distributing balls into boxes might be a good candidate for a typical problem. This approach is coherent to the viewpoint given by English(2004) that it is educationally important to see the connection and relationship between problems with different context but with similar mathematical structure.

• 한국수학사학회지
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• 제19권1호
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• pp.33-42
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• 2006

본 논문은 조합론 분야에서 매우 중요하게 다루는 조합대상들의 동형문제에 관한 이론적 배경의 연구와 아울러 역사적 배경을 고찰해본다. 또한, 유한체에서 케일리대상들의 동형사상 문제에 대한 부분적인 결과를 소개한다.