We show that certain vertex algebras without vacuum vector may be embedded into vertex algebras. The result is a partial analogue of the simple classical fact that any rng can be embedded into a ring....

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We apply an idea of framed vertex operator algebras to a construction of local conformal nets of (injective type III_1) factors on the circle corresponding to various lattice vertex operator algebras ...

We prove that any $3$-uniform hypergraph whose minimum vertex degree is at least $\left(\frac{5}{9} + o(1) \right)\binom{n}{2}$ admits an almost-spanning tight cycle, that is, a tight cycle leaving $o...

Time-vertex graph signal (TVGS) models describe time-varying data with irregular structures. The bandlimitedness in the joint time-vertex Fourier spectral domain reflects smoothness in both temporal a...

Koh and Tay introduced a new family of graphs, $G$ vertex-multiplications, as an extension of complete $n$-partite graphs. They proved a fundamental classification of $G$ vertex-multiplications into t...

Koh and Tay proved a fundamental classification of $G$ vertex-multiplications into three classes $\mathscr{C}_0, \mathscr{C}_1$ and $\mathscr{C}_2$. In this paper, we prove that vertex-multiplications...

Koh and Tay proved a fundamental classification of $G$ vertex-multiplications into three classes $\mathscr{C}_0, \mathscr{C}_1$ and $\mathscr{C}_2$. They also showed that any vertex-multiplication of ...

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Enterprise ready, fully-managed, unified AI development platform. Access and utilize Vertex AI Studio, Agent Builder, and 200+ foundation models.

Enterprise ready, fully-managed, unified AI development platform. Access and utilize Vertex AI Studio, Agent Builder, and 200+ foundation models.

Boost e-commerce conversions and revenue with Vertex AI Search for commerce. Delivers personalized and intuitive shopping experiences.

Create Google quality search experiences across your websites and intranet. Vertex AI Search also offers a comprehensive RAG system for your generative AI applications including OOTB RAG, vector searc...