In this paper, we introduce the notion of binomial edge ideals of a clutter and obtain results similar to those obtained for graphs by Rauf \& Rinaldo in \cite(raufrin). We also answer a question posed in their paper.

Let H be a numerical semigroup minimally generated by an almost arithmetic sequence. We give a complete description of the row-factorization (RF) matrices associated with the pseudo-Frobenius elements of H. RF-matrices ...

Modular forms on the split exceptional group G2 over Q are a special class of automorphic forms on this group, which were introduced by Gan, Gross, and Savin. If π is a cuspidal automorphic representation of G2(A) corresponding ...

Let q=|q|ei??,??(?1,1], be a nonzero complex number such that |q|?1 and consider the compact quantum group Uq(2). For ??Q?{0,1}, we obtain the K-theory of the C?-algebra C(Uq(2)). Then, we produce a spectral triple on Uq(2) ...

Our aim in this paper is to study the projective closures of three important families of affine monomial curves in dimension 4, in order to explore possible connections between syzygies and the arithmetic Cohen-Macaulay property.

George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third order mock theta functions ?(q) and ?(q), thereby extending their earlier results with the second author. ...

n this article, a q-series examined by Kluyver and Uchimura is generalized. This allows us to find generalization of the identities in the random acyclic digraph studied by Simon, Crippa, and Collenberg in 1993. As one of ...

A generalized modular relation of the form F(z, w, α) = F(z, iw, β), where αβ = 1 and i = √ −1, is obtained in the course of evaluating an integral involving the Riemann Ξ-function. It is a two-variable generalization ...