A5065812694- Algebraic structures and combinatorial models
- Advanced Topics in Algebra
- Commutative Algebra and Its Applications
- Nonlinear Waves and Solitons
- Rings, Modules, and Algebras
- Homotopy and Cohomology in Algebraic Topology
- graph theory and CDMA systems
- Advanced Combinatorial Mathematics
- Finite Group Theory Research
- Polynomial and algebraic computation
- Coding theory and cryptography
- Advanced Graph Theory Research
- Graph theory and applications
- Topological and Geometric Data Analysis
- Algebraic Geometry and Number Theory
- Advanced Mathematical Modeling in Engineering
- Mathematical Dynamics and Fractals
- Advanced Algebra and Geometry
- Microencapsulation and Drying Processes
- Cellular and Composite Structures
- Cellular Automata and Applications
- Advanced Mathematical Theories and Applications
- Food Quality and Safety Studies
- MXene and MAX Phase Materials
- Analytic and geometric function theory
Hainan University
2016-2025
Hunan Normal University
2001-2023
Shanghai Jiao Tong University
2014-2019
Xiangtan University
2007-2012
Bielefeld University
1994
Enzymatic hydrolysis can enhance the flavor of aquatic products. Nevertheless, strong fishy odor restricts its utilization in culinary applications. This study is centered on enhancing golden pomfret samples by promoting Maillard reaction (MR) between hydrolysate (GHES) and reducing sugars. The research results demonstrate that significantly improves sensory characteristics GHES. It prompts formation diverse volatile compounds, such as aldehydes, esters, furans. Simultaneously, it reduces...
Liposomes serve as an effective delivery system capable of encapsulating a variety bioactive substances. However, their structural integrity is susceptible to damage from various environmental factors, which can result in the leakage encapsulated agents. Consequently, identifying strategies enhance stability liposomes has become central focus contemporary liposome research. Surface modification, achieved by introducing protective layer on surface, effectively reduces aggregation and enhances...
(1995). The hall polynomials of a cyclic serial algebra. Communications in Algebra: Vol. 23, No. 2, pp. 743-751.
(2000). Loewy matrix, koszul cone and applications. Communications in Algebra: Vol. 28, No. 2, pp. 925-940.
ABSTRACT It is known that preprojective algebras are related to the McKay quiver of finite subgroups . In this note we relate two a subgroup for any Some properties also studied with these algebras.
For a field K, square-free monomial ideal I of K[x1,…,xn] is called an f-ideal if both its facet complex and Stanley-Reisner have the same f-vector. In this paper, we introduce combinatorial concept (LU-set) use it to characterize (n,d)th f-ideal, whose minimal generating set consists some monomials common degree d from K[x1,…,xn]. We classify all (n,2)th f-ideals, thus list f-graphs edge ideals are exactly f-ideals. Furthermore, show that Cohen-Macaulay.
In this paper, we determine the diameters of graphs [Formula: see text] and for a ring R with infinitely many maximal ideals. We also use graph blow-up to give complete classification rings whose are non-empty planar graphs.
For a field K, square-free monomial ideal I of K[<TEX>$x_1$</TEX>, . ., <TEX>$x_n$</TEX>] is called an f-ideal, if both its facet complex and Stanley-Reisner have the same f-vector. Furthermore, for f-ideal I, all monomials in minimal generating set G(I) degree d, then <TEX>$(n, d)^{th}$</TEX> f-ideal. In this paper, we prove existence <TEX>$d{\geq}2$</TEX> <TEX>$n{\geq}d+2$</TEX>, also give some algorithms to construct f-ideals.
Imposing a strong condition on the linear order of shellable complexes, we introduce shellability. Basic properties, including existence dimension-decreasing shelling orders, are developed with respect to nonpure strongly complexes. Meanwhile, pure complexes can be characterized by corresponding codimension one graphs. In addition, show that facet ideals have quotients.
A finite group G is called a PST-group (respectively, PT-group, T-group) if every subnormal subgroup of Sylow permutable permutable, normal) in G. Let F be class and group. Then, set Σ subgroups G-covering system for the G∈F whenever Σ⊆F. We prove that: (i) If contains at least one supplement to each maximal G, then, all soluble PST-groups; (ii) two-generated classes PST-groups, PT-groups, T-groups. use these results following characterizations PT-groups T-groups: Suppose that PT-group only...
A square-free monomial ideal $I$ is called an {\it $f$-ideal}, if both $\delta_{\mathcal{F}}(I)$ and $\delta_{\mathcal{N}}(I)$ have the same $f$-vector, where ($\delta_{\mathcal{N}}(I)$, respectively) facet (Stanley-Reisner, complex related to $I$. In this paper, we introduce study perfect subsets of $2^{[n]}$ use them characterize $f$-ideals degree $d$. We give a decomposition $V(n, 2)$ by taking advantage correspondence between graphs sets monomials $2$, then formula for counting number...