Results 71 to 80 of about 17,702 (242)
RevOrder: A novel equation format for arithmetic operations in language models
Abstract This paper proposes to understand arithmetic operations in Language Models (LM) by framing them as digit‐based reasoning challenges. Our research focuses on arithmetic optimization challenges specific to LLMs, not on solving mathematical word problems.
Si Shen, Peijun Shen, Danhao Zhu
wiley +1 more source
Distance spectrum of some zero divisor graphs
In the present article, we give the distance spectrum of the zero divisor graphs of the commutative rings $ \mathbb{Z}_{t}[x]/\langle x^{4} \rangle $ ($ t $ is any prime), $ \mathbb{Z}_{t^2}[x] / \langle x^2 \rangle $ ($ t \geq 3 $ is any prime) and ...
Fareeha Jamal , Muhammad Imran
doaj +1 more source
Properties of Ideal-Based Zero-Divisor Graphs of Commutative Rings [PDF]
Let R be a commutative ring with nonzero identity and I an ideal of R. The focus of this research is on a generalization of the zero-divisor graph called the ideal-based zero-divisor graph for commutative rings with nonzero identity.
Smith, Jesse Gerald, Jr.
core +2 more sources
Compactifications of strata of differentials
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley +1 more source
Polarization and Gorenstein liaison
Abstract A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen–Macaulay subscheme of Pn$\mathbb {P}^n$ can be G‐linked to a complete intersection. Migliore and Nagel showed that if such a scheme is generically Gorenstein (e.g., reduced), then, after re‐embedding so that it is viewed as a subscheme of Pn ...
Sara Faridi +3 more
wiley +1 more source
Zero-divisor graphs of reduced Rickart *-rings
For a ring A with an involution *, the zero-divisor graph of A, Γ*(A), is the graph whose vertices are the nonzero left zero-divisors in A such that distinct vertices x and y are adjacent if and only if xy* = 0.
Patil A.A., Waphare B.N.
doaj +1 more source
Zero-divisor graphs of nilpotent-free semigroups [PDF]
Expanded first paragraph in section 6. To appear in J. Algebraic Combin.
Epstein, Neil, Nasehpour, Peyman
openaire +2 more sources
Conformal optimization of eigenvalues on surfaces with symmetries
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley +1 more source
On bipartite zero-divisor graphs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, Dancheng, Wu, Tongsuo
openaire +1 more source
Symmetric products and puncturing Campana‐special varieties
Abstract We give a counterexample to the Arithmetic Puncturing Conjecture and Geometric Puncturing Conjecture of Hassett–Tschinkel using symmetric powers of uniruled surfaces, and propose a corrected conjecture inspired by Campana's conjectures on special varieties.
Finn Bartsch +2 more
wiley +1 more source

