DocumentCode :
2656186
Title :
On Nilpotent Matrices over Bounded Distributive Lattice
Author :
Li-Xia Song
Author_Institution :
Dept. of Basic Curriculum, North China Inst. of Sci. & Technol. Beijing, Beijing
fYear :
2009
fDate :
23-25 Jan. 2009
Firstpage :
51
Lastpage :
53
Abstract :
In this paper, we study nilpotent matrices over bounded distributive lattice from the point of Graph. We will give some necessary and sufficient conditions for a nilpotent matrix over bounded distributive lattice A: h(A)=m,( h(A)=inf{m|Am =0}), establish some important properties and give a method on how to determine a matrix is a non-nilpotent matrix.
Keywords :
graph theory; matrix algebra; bounded distributive lattice; graph theory; nilpotent matrices; Filters; Informatics; Information security; Information technology; Lattices; Sufficient conditions; Bounded distributive lattice; Directed graph; Nilpotent matrices; Prime filter.;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Intelligent Information Technology and Security Informatics, 2009. IITSI '09. Second International Symposium on
Conference_Location :
Moscow
Print_ISBN :
978-1-4244-3580-7
Type :
conf
DOI :
10.1109/IITSI.2009.18
Filename :
4777547
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=2656186
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