Browse > Article
http://dx.doi.org/10.11568/kjm.2012.20.3.315

SOME PROPERTIES OF GR-MULTIPLICATION MODULES  

Park, Seungkook (Department of Mathematics Sookmyung Women's University)
Publication Information
Korean Journal of Mathematics / v.20, no.3, 2012 , pp. 315-321 More about this Journal
Abstract
In this paper, we provide the necessary and sufficient conditions for a faithful graded module to be a graded multiplication module and for a graded submodule of a faithful gr-multiplication to be gr-essential.
Keywords
gr-multiplication module; multiplication module;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 M.M. Ali and D.J. Smith, Some remarks on multiplication and projective mod- ules, Comm. Algebra 32 (10) (2004), 3897-3909.   DOI   ScienceOn
2 A. Barnard, Multiplication modules, J. Algebra 71 (1) (1981), 174-178.   DOI
3 Z.A. El-Bast and P.F. Smith, Multiplication modules, Comm. Algebra 16(4) (1988), 755-779.   DOI
4 J. Escoriza and B. Torrecillas, Multiplication objects in commutative Grothendieck categories, Comm. Algebra 26 (6) (1998), 1867-1883.   DOI   ScienceOn
5 S.C. Lee, S. Kim, and S. Chung, Ideals and submodules of multiplication modules, J. Korean Math. Soc. 42 (5) (2005), 933-948.   DOI   ScienceOn
6 G.M. Low and P.F. Smith, Multiplication modules and ideals, Comm. Algebra 18 (12) (1990), 4353-4375.
7 A.G. Naoum, Flat modules and multiplication modules, Period. Math. Hungar. 21 (4) (1990), 309-317.   DOI   ScienceOn
8 Y.S. Park and C.W. Choi, Multiplication modules and characteristic submodules, Bull. Korean Math. Soc. 32 (2) (1995), 321-328.
9 Unsal Tekir, A note on multiplication modules, Int. J. Pure Appl. Math. 27 (1) (2006), 107-111.
10 A.A. Tuganbaev, Flat and multiplication modules, J. Math. Sci. (N. Y.) 128 (3) (2005), 2998-3004.   DOI   ScienceOn