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2.219  Articles
1 of 223 pages  |  10  records  |  more records»
Let G=(V,E)G=(V,E) be a graph. If GG is a König graph or if GG is a graph without 3-cycles and 5-cycles, we prove that the following conditions are equivalent: ?G\Delta_{G} is pure shellable, R/I?R/I_{\Delta} is Cohen-Macaulay, GG is unmixed vertex decomp... see more

We present the main results about morphisms whose fibres are Cohen-Macaulay and about rings having Cohen-Macaulay formal fibers. We give new proofs for the localization theorems for morphisms with Cohen-Macaulay or (Sn) fibres and we point out some open q... see more

Let HH be an nn-generated numerical semigroup such that its tangent cone grmK[H]\operatorname{gr}_\mathfrak{m} K[H] is defined by quadratic relations. We show that if n<5n then grmK[H]\operatorname{gr}_\mathfrak{m} K[H] is Cohen-Macaulay, and... see more

We study the Hilbert function and the Hilbert series of the vertex cover algebra A(G), where G is a Cohen-Macaulay bipartite graph.

In this paper we consider bi-Cohen-Macaulay graphs, and give a complete classification of such graphs in the case they are bipartite or chordal. General bi-Cohen-Macaulay graphs are classified up to separation. The inseparable bi-Cohen-Macaulay graphs are... see more

We introduce a new family of simple graphs, so called, growing graphs. We investigate ways to modify a given simple graph G combinatorially to obtain a growing graph. One may obtain infinitely many growing graphs from a single simple graph. We show that a... see more

Cho (R, m) là vành giao hoán Noether và Q(R) là vành các thuong toàn ph?n c?a R. M?c dích c?a bài báo này là nghiên c?u c?u trúc c?a các vành trung gian gi?a R và Q(R). G?i X là t?p t?t c? các l?p tuong duong [I], trong dó I là ideal c?a R ... see more

Cho (R, m) là vành Noether d?a phuong, A là R-môdun Artin, và M là R-môdun h?u h?n sinh. Ta có Ann R(M/ p M) = p v?i m?i p ? Var(Ann R M). Do dó r?t t? nhiên ta xét tính ch?t sau v? linh hóa t? c?a môdun ArtinAnn R(0 : A p) = p for all p ? Var(Ann R A). (... see more

In this paper we consider the nondegenerate projectively Cohen-Macaulay (p.C.M.) surfaces of small degree in P^5 . We determine those of degree d = 9  and all candidate rational surfaces as p.C.M. surfaces.

1 of 223 pages  |  10  records  |  more records»