On the Betti numbers of perfect ideals
G. Valla (1994)
Compositio Mathematica
Similarity:
G. Valla (1994)
Compositio Mathematica
Similarity:
Miroslav Repický (1987)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
Rafał Filipów, Nikodem Mrożek, Ireneusz Recław, Piotr Szuca (2011)
Czechoslovak Mathematical Journal
Similarity:
We consider various forms of Ramsey's theorem, the monotone subsequence theorem and the Bolzano-Weierstrass theorem which are connected with ideals of subsets of natural numbers. We characterize ideals with properties considered. We show that, in a sense, Ramsey's theorem, the monotone subsequence theorem and the Bolzano-Weierstrass theorem characterize the same class of ideals. We use our results to show some versions of density Ramsey's theorem (these are similar to generalizations...
Gábor Czédli, Miklós Maróti (2010)
Mathematica Bohemica
Similarity:
We maximize the total height of order ideals in direct products of finitely many finite chains. We also consider several order ideals simultaneously. As a corollary, a shifting property of some integer sequences, including digit sum sequences, is derived.
Bouziane, Driss, Rody, Abdelilah Kandri (2003)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Sarfraz Ahmad (2011)
Czechoslovak Mathematical Journal
Similarity:
We define nice partitions of the multicomplex associated with a Stanley ideal. As the main result we show that if the monomial ideal is a CM Stanley ideal, then is a Stanley ideal as well, where is the polarization of .
Boďa, E., Fernbauer, R. (2003)
Acta Mathematica Universitatis Comenianae. New Series
Similarity: