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RISS 인기검색어
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- 저자 : Zhu Fuhai (검색결과 7 건)
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ON 2-GENERATING INDEX OF FINITE DIMENSIONAL LEFT-SYMMETRIC ALGEBRAS
Yang, Xiaomei,Zhu, Fuhai Korean Mathematical Society 2017 대한수학회지 Vol.54 No.5
In this paper, we introduce the notion of generating index ${\mathcal{I}}_1(A)$ (2-generating index ${\mathcal{I}}_2(A)$, resp.) of a left-symmetric algebra A, which is the maximum of the dimensions of the subalgebras generated by any element (any two elements, resp.). We give a classification of left-symmetric algebras with ${\mathcal{I}}_1(A)=1$ and ${\mathcal{I}}_2(A)=2$, 3 resp., and show that all such algebras can be constructed by linear and bilinear functions. Such algebras can be regarded as a generalization of those relating to the integrable (generalized) Burgers equation.
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A NOTE ON PSEUDO-RIEMANNIAN ASSOCIATIVE FERMIONIC NOVIKOV ALGEBRAS
Chen, Zhiqi,Zhu, Fuhai Korean Mathematical Society 2012 대한수학회보 Vol.49 No.2
In this paper, we focus on pseudo-Riemannian associative fermionic Novikov algebras. We prove that the underlying Lie algebras of pseudo-Riemannian associative fermionic Novikov algebras are 2-step nilpotent and that pseudo-Riemannian associative fermionic Novikov algebras are 3-step nilpotent. Moreover, we construct a pseudo-Riemannian associative fermionic Novikov algebra in dimension 14, which is not a Novikov algebra. It implies that the inverse proposition of Corollary 2 in the paper "Pseudo-Riemannian Novikov algebras" [J. Phys. A: Math. Theor. 41 (2008), 315207] does not hold.
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A NOTE ON PSEUDO-RIEMANNIAN ASSOCIATIVE FERMIONIC NOVIKOV ALGEBRAS
Zhiqi Chen,Fuhai Zhu 대한수학회 2012 대한수학회보 Vol.49 No.2
In this paper, we focus on pseudo-Riemannian associative fermionic Novikov algebras. We prove that the underlying Lie algebras of pseudo-Riemannian associative fermionic Novikov algebras are 2-step nilpotent and that pseudo-Riemannian associative fermionic Novikov algebras are 3-step nilpotent. Moreover, we construct a pseudo-Riemannian associative fermionic Novikov algebra in dimension 14, which is not a Novikov algebra. It implies that the inverse proposition of Corollary 2 in the paper "Pseudo-Riemannian Novikov algebras" [J. Phys. A: Math. Theor. 41 (2008), 315207] does not hold.
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ON 2-GENERATING INDEX OF FINITE DIMENSIONAL LEFT-SYMMETRIC ALGEBRAS
Xiaomei Yang,Fuhai Zhu 대한수학회 2017 대한수학회지 Vol.54 No.5
In this paper, we introduce the notion of generating index $\I_1(A)$ ($2$-generating index $\I_2(A)$, resp.) of a left-symmetric algebra $A$, which is the maximum of the dimensions of the subalgebras generated by any element (any two elements, resp.). We give a classification of left-symmetric algebras with $\I_1(A)=1$ and $\I_2(A)=2,3$ resp., and show that all such algebras can be constructed by linear and bilinear functions. Such algebras can be regarded as a generalization of those relating to the integrable (generalized) Burgers equation.
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Algebras with pseudo-Riemannian bilinear forms
Zhiqi Chen,Ke Liang,Fuhai Zhu 대한수학회 2011 대한수학회지 Vol.48 No.1
The purpose of this paper is to study pseudo-Riemannian al-gebras, which are algebras with pseudo-Riemannian non-degenerate sym-metric bilinear forms. We find that pseudo-Riemannian algebras whose left centers are isotropic play a curial role and show that the decomposi-tion of pseudo-Riemannian algebras whose left centers are isotropic into indecomposable non-degenerate ideals is unique up to a special automor-phism. Furthermore, if the left center equals the center, the orthogonal decomposition of any pseudo-Riemannian algebra into indecomposable non-degenerate ideals is unique up to an isometry.
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ALGEBRAS WITH PSEUDO-RIEMANNIAN BILINEAR FORMS
Chen, Zhiqi,Liang, Ke,Zhu, Fuhai Korean Mathematical Society 2011 대한수학회지 Vol.48 No.1
The purpose of this paper is to study pseudo-Riemannian algebras, which are algebras with pseudo-Riemannian non-degenerate symmetric bilinear forms. We nd that pseudo-Riemannian algebras whose left centers are isotropic play a curial role and show that the decomposition of pseudo-Riemannian algebras whose left centers are isotropic into indecomposable non-degenerate ideals is unique up to a special automorphism. Furthermore, if the left center equals the center, the orthogonal decomposition of any pseudo-Riemannian algebra into indecomposable non-degenerate ideals is unique up to an isometry.
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Shengai Cui,Bing Zhu,Fuhai Li,Yuezhong Ye 대한토목학회 2016 KSCE Journal of Civil Engineering Vol.20 No.4
To study the bond performance between shotcrete and rock in a hot and humid tunnel, experiments on wet-sprayed shotcrete specimens under different hot and humid curing conditions (35°C, 50°C, 70°C, and standard curing conditions: 20°C with relative humidity 95%) were performed to examine the influence of thermal damage. The results show that the bond strength at 35°C is higher compared with that at standard curing conditions, but decreases when the temperature rises (especially at 70°C), indicating the adverse effects of thermal damage on bond strength. Based on these results, we used the worst hot and humid condition (70°C) as a case study to explore measures to improve bond strength under hot and humid conditions by adding mineral admixture or fiber material to the shotcrete mix. The experimental results suggest that adding fly ash or slag powder can enhance the bond strength, with the best effect achieved by adding fly ash.
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