8 citations · 31 across the 24 of their papers we have counts for
25 papers
On a generalization of Ulrich modules and its applications
Ela Celikbas, Olgur Celikbas, Justin Lyle +2
We study a modified version of the classical Ulrich modules, which we call -Ulrich. Unlike the traditional setting, -Ulrich modules always exist. We prove that these modules…
Inequalities among Symmetric Polynomial Functions: Counter-examples and New Conjectures
Jia Xu, Yong Yao
Inequalities among symmetric polynomial functions are fundamental questions in mathematics and have various applications in science and engineering. This paper investigates a beaut…
On the vanishing of (co)homology for modules admitting certain filtrations
Olgur Celikbas, Yongwei Yao
We study the vanishing of (co)homology along ring homomorphisms for modules that admit certain filtrations, and generalize a theorem of O. Celikbas-Takahashi. Our work produces new…
Injective capacity and cogeneration
Robin Baidya, Yongwei Yao
Let and be modules over a commutative ring with Noetherian. We define the injective capacity of with respect to over to be the supremum of the values $t…
A sufficient condition for local nonnegativity
Jia Xu, Yong Yao
A real polynomial is called local nonnegative at a point , if it is nonnegative in a neighbourhood of . In this paper, a sufficient condition for determining this propert…
Global Frobenius Betti numbers and F-splitting ratio
Alessandro De Stefani, Thomas Polstra, Yongwei Yao
We extend the notion of Frobenius Betti numbers and F-splitting ratio to large classes of finitely generated modules over rings of prime characteristic, which are not assumed to be…