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pro vyhledávání: '"Xu, Yunge"'
Recently, constructions of optimal linear codes from simplicial complexes have attracted much attention and some related nice works were presented. Let $q$ be a prime power. In this paper, by using the simplicial complexes of ${\mathbb F}_{q}^m$ with
Externí odkaz:
http://arxiv.org/abs/2407.10074
In this paper, we construct a large family of projective linear codes over ${\mathbb F}_{q}$ from the general simplicial complexes of ${\mathbb F}_{q}^m$ via the defining-set construction, which generalizes the results of [IEEE Trans. Inf. Theory 66(
Externí odkaz:
http://arxiv.org/abs/2305.07206
In the note, all indecomposable canonical forms of linear systems with dimension less than or equal to $4$ are determined based on Belitskii's algorithm. As an application, an effective way to calculate dimensions of equivalence classes of linear sys
Externí odkaz:
http://arxiv.org/abs/1703.01417
Akademický článek
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Publikováno v:
In Finite Fields and Their Applications December 2021 76
Autor:
Zhao, Tiwei, Xu, Yunge
In this paper, we introduce the notions of Gorenstein weak injective and weak flat modules respectively in terms of weak injective and weak flat modules, which is larger than classical classes of Gorenstein injective and flat modules. In this new set
Externí odkaz:
http://arxiv.org/abs/1405.0648
Autor:
Zhang, Yingbo, Xu, Yunge
Let $\Lambda$ be a finite-dimensional basic algebra over an algebraically closed field $k$. The well-known Drozd's theorem asserts, that $\Lambda$ is either tame or wild. The Crawley-Boevey's Theorem states that for a given tame algebra $\Lambda$, an
Externí odkaz:
http://arxiv.org/abs/1403.5930
Autor:
Xu, Yunge, Zhang, Chao
In this paper we provide more counterexamples to Happel's question and Snashall-Solberg's conjecture which generalize many counterexamples to these conjectures studied in the literature. In particular, we show that a family of $\mathbb{Z}_n\times \ma
Externí odkaz:
http://arxiv.org/abs/1109.3956
We construct families of irreducible representations for a class of quantum groups $U_{q}(f_{m}(K,H)$. First, we realize these quantum groups as Hyperbolic algebras. Such a realization yields natural families of irreducible weight representations for
Externí odkaz:
http://arxiv.org/abs/math/0610895
For a truncated quiver algebra over a field of arbitrary characteristic, its Hochschild cohomology is calculated. Moreover, it is shown that its Hochschild cohomology algebra is finite-dimensional if and only if its global dimension is finite if and
Externí odkaz:
http://arxiv.org/abs/math/0509202