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【期刊论文】Symplectic graphs and their automorphisms
唐忠明, Zhongming Tanga, ∗, Zhe-xianWanb
European Journal of Combinatorics 27(2006)38-50,-0001,():
-1年11月30日
A new family of strongly regular graphs, called the general symplectic graphs Sp(2ν, q), associated with nonsingular alternate matrices is introduced. Their parameters as strongly regular graphs, their chromatic numbers as well as their groups of graph automorphisms are determined.
Symplectic graphs, Chromatic numbers, Graph automorphisms
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【期刊论文】ON CERTAIN MONOMIAL SEQUENCES
唐忠明, ZHONGMING TANG
Mathematics Subject Classification. 13A99 13(2000)1-10,-0001,():
-1年11月30日
We give equivalent conditions for a monomial sequence to be a dsequence or a proper sequence, and a sufficient condition for a monomial sequence to be an s-sequence in order to compute invariants of the symmetric algebra of the ideal generated by it.
d-sequences,, proper sequences,, s-sequences,, symmetric algebras.,
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【期刊论文】Symmetric and Rees algebras of Koszul cycles and their Gr
唐忠明, J
manuscripta math. 112(2003)489-509,-0001,():
-1年11月30日
In this paper we study the symmetric algebra S(Ei) and Rees algebra R(Ei ) of the modules Ei of i-cycles of the Koszul complex associated with the sequence of indeterminates x1,..., xn of a polynomial ring K[x1,...,xn]. For i=2 and i=n−2 we show that x1,..., xn is a d-sequence on S(Ei) and R(Ei) and we determine Gröbner bases and Sagbi bases related to these algebras.
f-depth,, f-modules,, local cohomology modules.,
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【期刊论文】THE F-DEPTH OF AN IDEAL ON A MODULE
唐忠明, RENCAI L
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 130(2001)1905-1912,-0001,():
-1年11月30日
Let I be an ideal of a Noetherian local ring R and M a nitely generated R-module. The f-depth of I on M is the least integer r such that the local cohomology module Hr I (M) is not Artinian. This paper presents some part of the theory of f-depth including characterizations of f-depth and a relation between f-depth and f-modules.
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【期刊论文】Reduction Numbers and Multiplicities of Multigraded Structures
唐忠明, Manfred Herrmann, Eero Hyry, J
JOURNAL OF ALGEBRA 197(1997)311-341,-0001,():
-1年11月30日
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