논문KCI 등재
ON HOMOMORPHISMS ON CSASZAR FRAMES
대한수학회 (The Korean Mathematical Society)|2008.07|대한수학회논문집 (Communications of the KMS)|제23권 제3호|pp. 453-459
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
We introduce a concept of continuous homomorphisms between Csaszar frames and show that the Cauchy completion in CsFrm gives rise to a coreflection in the category PCsFrm (resp. UCsFrm) consisting of proximal Csaszar frames and uniform continuous homomorphisms (resp. uniform Csaszar frames and uniform continuous homomorphisms).
Abstract
We introduce a concept of continuous homomorphisms between Csaszar frames and show that the Cauchy completion in CsFrm gives rise to a coreflection in the category PCsFrm (resp. UCsFrm) consisting of proximal Csaszar frames and uniform continuous homomorphisms (resp. uniform Csaszar frames and uniform continuous homomorphisms).
참고문헌 (11)
- J. Ad´amek, "Abstract and Concrete Categories" (1990), Wiley Interscience
- B. Banschewski, "Compactifications of frames", Math. Nachr, 149, pp.105~115 (1990)
- B. Banschewski, "Filters and strict extensions of frames", Kyungpook Math. J, 39(1), pp.215~230 (1999)
- B. Banschewski, "Cauchy points of uniform and nearness frames", Quaestions Math, 19, pp.101~127 (1996)
- S. H. Chung, "Cauchy completion of Cs´asz´ar frames", J. Korean Math. Soc, 42(2), pp.291~304 (2005)
- A, Csaszar, "Foundation of General Topology" (1963), MacMillan Company
- S. S. Hong, "Convergence in frames", Kyungpook Math. J, 35, pp.85~91 (1995)
- S. S. Hong, "Cauchy completions of nearness frames", Applied Categorical Structures, 3, pp.371~377 (1995)
- J. R. Isbell, "Atomless parts of space", Math. Scand, 31, pp.5~32 (1972)
- P. T. Johnstone, "Stone Spaces" (1982), Cambridge University Press
- J. Picado, "Structures frames by Weil Entourages", Applied Categorical Structures, 8, pp.351~366 (2000)
관련 논문AI추천
On maximal compact framesJayaprasad P N, Madhavan Namboothiri N M, Santhosh P K, Varghese Jacob강원경기수학회 · 한국수학논문집2021 · 제29권 제3호The Semicontinuous Quasi-uniformity of a FrameJorge Picado, Maria Joo Ferreira경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호On L-fuzzy pre-proximities and L-fuzzy interior operatorsA. A. Ramadan, M. A. Reham, M. A. Usama기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제2호Categorical property of intuitionistic topological spaces이석종, 추재명대한수학회 · 대한수학회논문집2009 · 제24권 제4호CAUCHY COMPLETION OF CS¶ASZ¶AR FRAMESSe Hwa Chung대한수학회 · 대한수학회지2005 · 제42권 제2호Almost Lindelof frames강미경강원경기수학회 · 한국수학논문집2010 · 제18권 제1호
이 간행물의 다른 논문 (15건)
Remarks on some combinatorial determinants정상태pp. 307-312Soft WS-algebras전영배, 박철환, Mehmet Ali Ozturkpp. 313-324Weakly prime left ideals in near-subtraction semigroupsG. Satheesh Kumar, P. Dheenapp. 325-331On weak Armendariz idealsEbrahim Hashemipp. 333-342TETRAGONAL MODULAR CURVES X₁(M,N)전대열pp. 343-348