• Communications of the Korean Mathematical Society
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• v.26 no.3
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• pp.405-416
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• 2011

In this paper, we first introduce the concept of left strongly simple po-semigroups, then we discuss properties and characterizations nil-extensions of left strongly simple po-semigroups and semilattices of leftstrongly simple po-semigroups. Finally, we give some characterizations of the chain of left strongly simple po-semigroups.

• Journal of the Korean Mathematical Society
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• v.49 no.1
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• pp.49-67
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• 2012

In this paper we give asymptotic formulas for the number of ${\ell}$-cyclic extensions of the rational function field $k=\mathbb{F}_q(T)$ with prescribe ${\ell}$-class numbers inside some cyclotomic function fields, and density results for ${\ell}$-cyclic extensions of k with certain properties on the ideal class groups.

• Bulletin of the Korean Mathematical Society
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• v.53 no.5
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• pp.1281-1289
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• 2016

Richard Stanley suggested the problem of finding combinatorial proofs of formulas for counting regions of certain hyperplane arrangements defined by hyperplanes of the form $x_i=0$, $x_i=x_j$, and $x_i=2x_j$ that were found using the finite field method. We give such proofs, using embroidered permutations and linear extensions of posets.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2004.05b
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• pp.186-189
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• 2004

급속히 증가하는 데이터 트래픽을 지원할 수 있도록 네트웍을 관리해야 할 뿐만 아니라 안정적인 인프라를 유지하기 위해 트래픽 엔지니어링을 지원할 수 있는 MPLS가 필요하게 되었다. 트래픽 엔지니어링은 대규모 사용자가 트래픽을 네트웍 상의 특정 노드를 지나는 사전 지정된 경로로 이동시키는 방법으로 트래픽 플로우를 물리적인 네트웍 토폴로지에 매핑시키는 작업이라고 할 수 있다. 본 논문에서는 기존 RSVP의 트래픽 엔지니어링의 단점을 보완하고 보다 안정된 인프라를 구축하기 위해 RSVP 확장 시그널링 프로토콜에 대한 진화방향을 제시하고져 한다.

• Korean Journal of Mathematics
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• v.26 no.4
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• pp.701-708
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• 2018

In this paper, seminormality and t-closedness in ring extensions involving amalgamated algebras are studied. Let $R{\subseteq}T$ be a ring extension with ideals $I{\subseteq}J$, respectively such that J is contained in the conductor of R in T. Assume that T is integral over R. Then it is shown that ($R{\bowtie}I$, $T{\bowtie}J$) is a seminormal (resp., t-closed) pair if and only if (R, T) is a seminormal (resp., t-closed) pair.

• Bulletin of the Korean Mathematical Society
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• v.58 no.1
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• pp.217-224
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• 2021

In this paper, we study Ding injective modules over Frobenius extensions. Let R ⊂ A be a separable Frobenius extension of rings and M any left A-module, it is proved that M is a Ding injective left A-module if and only if M is a Ding injective left R-module if and only if A ⊗R M (HomR(A, M)) is a Ding injective left A-module.

• Kyungpook Mathematical Journal
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• v.13 no.2
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• pp.217-219
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• 1973

• Journal of the Korean Mathematical Society
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• v.7 no.2
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• pp.39-42
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• 1970

• East Asian mathematical journal
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• v.8 no.2
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• pp.241-244
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• 1992

• Journal of the Korean Mathematical Society
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• v.11 no.1
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• pp.1-4
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• 1974