• 대한수학회지
• /
• 제59권2호
• /
• pp.421-438
• /
• 2022

We investigate how closed string mirror symmetry is related to homological mirror symmetry, under the presence of an explicit geometric mirror functor.

• 대한수학회보
• /
• 제35권3호
• /
• pp.527-532
• /
• 1998

We study some properties of Schur functor and its sub-functions related to separable algebras and cyclotomic algebras.

• 호남수학학술지
• /
• 제29권2호
• /
• pp.289-297
• /
• 2007

In this paper, we show that BCI-algebras P and Q are injective if and only if its direct sum P $\oplus$ Q is injective. Moreover, we obtain the equivalent conditions for a p-semisimple BCI-algebra to be p-injective.

• 자연과학논문집
• /
• 제11권1호
• /
• pp.7-10
• /
• 1999

본 논문에서는 Seq, Conv 그리고 Top 카테고리 사이의 여러 가지 functor를 이용하여 그들 사이의 관계를 조사한다

• 대한수학회보
• /
• 제52권4호
• /
• pp.1077-1095
• /
• 2015

In this paper we study equivariant crossed modules in its link with strict graded categorical groups. The resulting Schreier theory for equivariant group extensions of the type of an equivariant crossed module generalizes both the theory of group extensions of the type of a crossed module and the one of equivariant group extensions.

• 대한수학회지
• /
• 제34권4호
• /
• pp.1009-1018
• /
• 1997

Observing that for any $\beta_c$-Wallman functor $A$ and any Tychonoff space X, there is a cover $(C_1(A(X), X), c_1)$ of X such that X is $A$-disconnected if and only if $c_1 : C_1(A(X), X) \longrightarrow X$ is a homeomorphism, we show that every Tychonoff space has the minimal $A$-disconnected cover. We also show that if X is weakly Lindelof or locally compact zero-dimensional space, then the minimal G-disconnected (equivalently, cloz)-cover is given by the space $C_1(A(X), X)$ which is a dense subspace of $E_cc(\betaX)$.

• 한국영어학회지:영어학
• /
• 제1권4호
• /
• pp.609-627
• /
• 2001

Pronouns are frequently used in English, and their resolution is important to capture meaning of sentences. This paper provides a computational implementation for pronoun readings in English, based on Chierchia's (1988) Binding Theory in Categorial Grammar. A CCG-like system is newly devised for implementing his ideas, where syntactic phenomena are represented by the functor-argument relations of categories. This relation triggers resolution algorithms, and reflexives and pronominals are resolved succinctly. In sum, this paper gives an efficient resolution algorithm for English pronouns within Categorial Grammar.

• 대한수학회보
• /
• 제52권1호
• /
• pp.137-147
• /
• 2015

We derive in the paper the tensor product functor -${\otimes}_R$- by using proper $\mathcal{GP}_C$-resolutions, where C is a semidualizing module. After giving several cases in which different relative homologies agree, we use the Pontryagin duals of $\mathcal{G}_C$-projective modules to establish a balance result for such relative homology over a Cohen-Macaulay ring with a dualizing module D.

• 대한수학회지
• /
• 제57권5호
• /
• pp.1135-1165
• /
• 2020

Polishchuk-Zaslow explained the homological mirror symmetry between Fukaya category of symplectic torus and the derived category of coherent sheaves of elliptic curves via Lagrangian torus fibration. Recently, Cho-Hong-Lau found another proof of homological mirror symmetry using localized mirror functor, whose target category is given by graded matrix factorizations. We find an explicit relation between these two approaches.

• 한국수학사학회지
• /
• 제10권1호
• /
• pp.19-32
• /
• 1997

This paper deals with the relationship between the order structure and topological structure in the historical point of view. We first investigate how the order structure has developed along with the set theory and logic in the second half of the nineteenth century. After the general topology has emerged in the beginning of the twentieth century, two disciplines of the order theory and topology give each other a great deal of effect for their development via various dualities, compactifications by maximal filter spaces and Alexandroff's specialization order, which form eventually a fundamental setting for the development of the category theory or functor theory.