We introduce the class of vector-spread monomial ideals. This notion generalizes that of t-
spread ideals introduced by Ene, Herzog and Qureshi. In particular, we focus on vector …

We study ideals of Borel type, including k-Borel ideals and t-spread Veronese ideals. We
determine their free resolutions and their homological shift ideals. The multiplicity and the …

We study ideals which are generated by monomials of degree d in the polynomial ring in n
variables and which satisfy certain numerical side conditions regarding their exponents …

In this paper, we study some algebraic invariants of t-spread ideals, t≥ 1, such as the
projective dimension and the Castelnuovo–Mumford regularity, by means of well-known …

In this paper, our main focus is to explore different classes of nearly normally torsion-free
ideals. We first characterize all finite simple connected graphs with nearly normally torsion …

Let S= K [x 1,…, xn] be a polynomial ring in n variables with coefficients over a field K. A t-
spread lexsegment ideal I of S is a monomial ideal generated by at-spread lexsegment set …

We consider vector–spread Borel ideals. We show that these ideals have linear quotients
and thereby we determine the graded Betti numbers and the bigraded Poincaré series. A …

Let K be a field and let S= K x_1, ..., x_n S= K x 1,…, xn be a standard polynomial ring over a
field K. We characterize the extremal Betti numbers, values as well as positions, of at-spread …

Inspired by the definition of t-spread monomial ideals, in this paper, we introduce t-spread d-
partite hypergraph KV t and study its edge ideal I (KV t). We prove that I (KV t) has linear …

arXiv:2102.07462v1 [math.AC] 15 Feb 2021 Page 1 arXiv:2102.07462v1 [math.AC] 15 Feb
2021 Upper bounds for Extremal Betti Numbers of t-Spread Strongly Stable Ideals Luca Amata …