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https://scholarworks.sookmyung.ac.kr/handle/2021.sw.sookmyung/200
2023-01-27T21:10:15ZModified koszul complexes in a quantum space ring
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/151412
Title: Modified koszul complexes in a quantum space ring
Authors: 이기석
Abstract: In this article, we deﬁne a modiﬁed Koszul complex, which we call a quantized Koszul complex, on a quantum space ring, and we also prove that it is an acyclic complex.2022-08-01T00:00:00ZFree boundary constant mean curvature surfaces in a strictly convex three-manifold
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/145852
Title: Free boundary constant mean curvature surfaces in a strictly convex three-manifold
Authors: Min, Sung-Hong; Seo, Keomkyo
Abstract: Let C be a strictly convex domain in a three-dimensional Riemannian manifold with sectional curvature bounded above by a constant, and let Sigma be a constant mean curvature surface with free boundary in C. We provide a pinching condition on the length of the traceless second fundamental form on Sigma which guarantees that the surface is homeomorphic to either a disk or an annulus. Furthermore, under the same pinching condition, we prove that if C is a geodesic ball of three-dimensional space forms, then Sigma is either a spherical cap or a Delaunay surface.2022-04-01T00:00:00ZA note on the invariant factors of the walk matrix of a graph
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/145977
Title: A note on the invariant factors of the walk matrix of a graph
Authors: Choi, Jinwon; Moon, Sunyo; Park, Seungkook
Abstract: For a given graph G with nvertices, the walk matrix Wof Gis defined as W=[e Ae A(2)e ... A(n-1)e], where A is the adjacency matrix of the graph Gand eis the vector of all ones. In this paper, we prove that for any positive integer k, at most left perpendicularn/2right perpendicular invariant factors of W are congruent to 2(k) modulo 2(k+1). (c) 2021 Elsevier Inc. All rights reserved.2021-12-15T00:00:00ZVarious remarks on homological invariants of local rings
https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/146099
Title: Various remarks on homological invariants of local rings
Authors: 이기석
Abstract: In this article, we investigate the finiteness of Auslander Index when a ring A has not necessarily a canonical module, or a Gorenstein module. We also study the relations between column invariants and row invariants.2021-11-01T00:00:00Z