Square-free Gröbner degenerations
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DOI: 10.1007/s00222-020-00958-7
Abstract: Let I be a homogeneous ideal of $$S=K[x_1,\ldots , x_n]$$ and let J be an initial ideal of I with respect to a term order. We prove that if J is radical then the Hilbert… read more here.
Keywords: bner degenerations; text; square free; free bner ... See more keywords
In the shadows of a hypergraph: looking for associated primes of powers of square-free monomial ideals
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DOI: 10.1007/s10801-019-00915-5
Abstract: The aim of this paper is to study the associated primes of powers of square-free monomial ideals. Each square-free monomial ideal corresponds uniquely to a finite simple hypergraph via the cover ideal construction, and vice… read more here.
Keywords: free monomial; hypergraph; associated primes; square free ... See more keywords
DDT Theorem over square-free numbers in short interval
Sign Up to like & getrecommendations! Published in 2017 at "Frontiers of Mathematics in China"
DOI: 10.1007/s11464-016-0547-6
Abstract: We study the Ces`aro means related to the divisor function. We show that the DDT theorem holds over square-free numbers in short interval, which generalizes some results established by Deshouillers-Dress-Tenenbaum and by Cui-Wu. read more here.
Keywords: free numbers; numbers short; square free; ddt theorem ... See more keywords
Sum of the Element Orders in Groups of the Square-Free Orders
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DOI: 10.1007/s40840-016-0353-z
Abstract: Given a finite group G, we denote by $$\psi (G)$$ψ(G) the sum of the element orders in G. In this article, we prove that if t is the number of nonidentity conjugacy classes in G,… read more here.
Keywords: sum element; element orders; group; groups square ... See more keywords
Locally-primitive Arc-transitive 10-Valent Graphs of Square-free Order
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DOI: 10.1142/s1005386718000172
Abstract: In this paper, we present a complete classification for locally-primitive arc-transitive graphs which have square-free order and valency 10. The classification involves nine graphs and three infini... read more here.
Keywords: graphs square; locally primitive; arc transitive; free order ... See more keywords
Branching Densities of Cube-Free and Square-Free Words
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DOI: 10.3390/a14040126
Abstract: Binary cube-free language and ternary square-free language are two “canonical” representatives of a wide class of languages defined by avoidance properties. Each of these two languages can be viewed as an infinite binary tree reflecting… read more here.
Keywords: cube free; square free; free language; density ... See more keywords