Journal of the Chungcheong Mathematical Society http://jcmssubmit.ccms.or.kr/index.php/jcms en-US hychu@cnu.ac.kr (Hahng-Yun Chu) jcms@cnu.ac.kr (Journal Manager) Mon, 15 Nov 2021 00:00:00 +0900 OJS 3.3.0.10 http://blogs.law.harvard.edu/tech/rss 60 GENERATION OF RAY CLASS FIELDS OF IMAGINARY QUADRATIC FIELDS http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1879 <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><br>Let K be an imaginary quadratic field other than Q( and Q( −3), and let OK be its ring of integers. Let N be a positive integer such that N = 5 or N ≥ 7. In this paper, we generate the ray class field modulo N OK over K by using a single x-coordinate of an elliptic curve with complex multiplication by OK .</p> <br><br><br><p>This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.</p> </div> </div> </div> Ho Yun Jung Copyright (c) 2021 Journal of the Chungcheong Mathematical Society http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1879 Mon, 15 Nov 2021 00:00:00 +0900 FIBONACCI SEQUENCES IN kTH POWER RESIDUES http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1880 <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><br>In this paper, we find all the prime numbers p that satisfy the following statement. If a positive integer k is a divisor of p − 1, then there is a sequence consisting of all k-th power residues modulo p, satisfying the recurrence equation of the Fibonacci sequence modulo p.</p> <br><br><br><p>This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.</p> </div> </div> </div> Youchan Chung, Eunyool Jang, Jinseo Park, Sanghoon Park Copyright (c) 2021 Journal of the Chungcheong Mathematical Society http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1880 Mon, 15 Nov 2021 00:00:00 +0900 VARIOUS REMARKS ON HOMOLOGICAL INVARIANTS OF LOCAL RINGS http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1881 <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><br>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.</p> <br><br><br><p>This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.</p> </div> </div> </div> Kisuk Lee Copyright (c) 2021 Journal of the Chungcheong Mathematical Society http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1881 Mon, 15 Nov 2021 00:00:00 +0900 FIXED POINT THEOREMS FOR M ¨ONCH TYPE MAPS IN ABSTRACT CONVEX UNIFORM SPACES http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1882 <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><br>In this paper, first, we present new fixed point theorems for M¨onch type multimaps on abstract convex uniform spaces and, also, a fixed point theorem for M¨onch type multimaps in Hausdorff KKM LΓ-spaces. Second, we show that M¨onch type multimaps in the better admissible class defined on an LΓ-space have fixed point properties whenever their ranges are Klee approximable. Finally, we obtain fixed point theorems on KC-maps whose ranges are Φ-sets.</p> <br><br><br><p>This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.</p> </div> </div> </div> Hoonjoo Kim Copyright (c) 2021 Journal of the Chungcheong Mathematical Society http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1882 Mon, 15 Nov 2021 00:00:00 +0900 CONTROLLABILITY FOR SEMILINEAR STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DELAYS IN HILBERT SPACES http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1883 <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><br>In this paper, we investigate necessary and sufficient conditions for the approximate controllability for semilinear stochastic functional differential equations with delays in Hilbert spaces without the strict range condition on the controller even though the equations contain unbounded principal operators, delay terms and local Lipschitz continuity of the nonlinear term.</p> <br><br><br><p>This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.</p> </div> </div> </div> Daewook Kim, Jin-Mun Jeong Copyright (c) 2021 Journal of the Chungcheong Mathematical Society http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1883 Mon, 15 Nov 2021 00:00:00 +0900 FUNDAMENTAL TONE OF COMPLETE WEAKLY STABLE CONSTANT MEAN CURVATURE HYPERSURFACES IN HYPERBOLIC SPACE http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1884 <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><br>In this paper, we give an upper bound for the fundamental tone of stable constant mean curvature hypersurfaces in hyperbolic space. Let M be an n-dimensional complete non-compact constant mean curvature hypersurface with finite L2-norm of the If M is weakly stable, then traceless second fundamental form. λ1(M ) is bounded above by n2 + O(n2+s) for arbitrary s > 0.</p> <br><br><br><p>This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.</p> </div> </div> </div> Sung-Hong Min Copyright (c) 2021 Journal of the Chungcheong Mathematical Society http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1884 Mon, 15 Nov 2021 00:00:00 +0900 ON MINIMAL SURFACES WITH GAUSSIAN CURVATURE OF BIANCHI SURFACE TYPE http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1885 <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><br>We consider the local uniqueness of a catenoid under the condition for the Gaussian curvature analogous to Bianchi surfaces. More precisely, if a nonplanar minimal surface in R3 has the 1 Gaussian curvature K = − (U (u)+V (v))2 for any functions U (u) and V (v) with respect to a line of curvature coordinate system (u, v), then it is part of a catenoid. To do this, we use the relation between a conformal line of curvature coordinate system and a Chebyshev coordinate system.</p> <br><br><br><p>This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.</p> </div> </div> </div> Sung-Hong Min Copyright (c) 2021 Journal of the Chungcheong Mathematical Society http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1885 Mon, 15 Nov 2021 00:00:00 +0900 CMC SURFACES WITH CONSTANT CONTACT ANGLE ALONG A CIRCLE http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1886 <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><br>In this paper, we give a characterization of a Delaunay surface in R3. Let Σ be a CMC-H surface in R3 with H (cid:54)= 0. If Σ meets a plane with constant contact angle along a circle, then it is rotationally symmetric, i.e., Σ is part of a Delaunay surface.</p> <br><br><br><p>This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.</p> </div> </div> </div> Sung-Hong Min Copyright (c) 2021 Journal of the Chungcheong Mathematical Society http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1886 Mon, 15 Nov 2021 00:00:00 +0900 RIEMANNIAN AND LORENTZIAN VOLUME COMPARISONS WITH THE BAKRY-EMERY RICCI TENSOR http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1887 <div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"> <p><br>The Bishop and Bishop-Gromov volume comparisons with the Bakry-Emery Ricci tensor in a metric measure space are studied by the comparisons of the Jacobi differential equations in a Riemannian and Lorentzian manifold.</p> <br><br><br><p>This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.</p> </div> </div> </div> Jong Ryul Kim Copyright (c) 2021 Journal of the Chungcheong Mathematical Society http://jcmssubmit.ccms.or.kr/index.php/jcms/article/view/1887 Mon, 15 Nov 2021 00:00:00 +0900