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A quasi-isometric embedding theorem for groups
quasi-isometric embedding theorem groups Group Theory
2012/3/1
We show that every group $H$ of at most exponential growth with respect to some left invariant metric admits a bi-Lipschitz embedding into a finitely generated group $G$ such that $G$ is amenable (res...
On embedding of dendriform algebras into Rota---Baxter algebras
dendriform algebras Rota Baxter algebras
2011/9/29
Abstract: Following a recent work by C. Bai, O. Bellier, L. Guo, and X. Ni (arXiv:1106.6080) we define what is a dendriform di- or trialgebra in an arbitrary variety Var of algebras (associative, comm...
Let $C$ be a smooth (irreducible) curve of degree $d$ in $\mathbb{P}^{2}$. Let $\mathbb{P}^{2} \hookrightarrow \mathbb{P}^{5}$ be the Veronese embedding and let $\mathcal{I}_{C}$ denote the homogeneo...
On Unimodality of Hilbert Functions of Gorenstein Artin Algebras of Embedding Dimension Four
Hilbert Functions Gorenstein Artin Algebras
2010/11/18
We prove that the Hilbert functions of codimension four graded Gorenstein Artin algebras R/I are unimodal provided I has a minimal generator in degree less than five. It is an open question whether al...
Skew polynomial rings, Groebner bases and the letterplace embedding of the free associative algebra
Skew polynomial rings Free algebras Gr¨obner bases
2010/12/9
In this paper we introduce an algebra embedding : KhXi → S from the free associative algebra KhXi generated by a finite or countable set X into the skew monoid ring S = P ∗ defined by the co...
AN EMBEDDING FOR THE $E_2$-TERM OF THE ADAMS SPECTRAL SEQUENCE AT ODD PRIMES
Koszul algebras Cohomology of algebras Adams spectral sequence
2007/12/11
Let $p$ be an odd prime. In this paper we introduce a quadratic linear $\mathbb F_p$-algebra $Q_1$ obtained by suitably changing the generators of $Q$, the homogeneous quadratic algebra of cohomology ...