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- Some properties of π-block coverings
- HAI Jin-ke, LI Zheng-xing, LI Xiao-yan
- J4. 2012, 47(10): 1-3.
- Abstract ( 450 ) PDF (652KB) ( 945 ) Save
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- Note on the existence of F-covers
- SONG Xian-mei
- J4. 2012, 47(10): 4-6.
- Abstract ( 410 ) PDF (792KB) ( 1240 ) Save
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- A note on a theorem of E.Alemany
- LIU Xiao-lei
- J4. 2012, 47(10): 7-13.
- Abstract ( 354 ) PDF (625KB) ( 1223 ) Save
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- A classification of simple finite dimensional modules over quantum matrix algebra Mq(2)
- WANG Zhi-hua1,2
- J4. 2012, 47(10): 14-17.
- Abstract ( 344 ) PDF (594KB) ( 572 ) Save
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- Semiboolean group rings
- WANG Xiu-lan
- J4. 2012, 47(10): 18-20.
- Abstract ( 752 ) PDF (609KB) ( 1242 ) Save
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- The generalized Shephard problem for Lp-mixed projection bodies and Minkowski-Funk transforms
- MA Tong-yi1,2, LIU Chun-yan2
- J4. 2012, 47(10): 21-30.
- Abstract ( 329 ) PDF (717KB) ( 888 ) Save
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- Constructing 2-generator quasi-twisted codes over finite fields
- GAO Jian, CAO Yong-lin
- J4. 2012, 47(10): 31-33.
- Abstract ( 412 ) PDF (618KB) ( 789 ) Save
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- E-singular values of a real partially symmetric rectangular tensor
- ZHAO Na
- J4. 2012, 47(10): 34-37.
- Abstract ( 451 ) PDF (586KB) ( 1319 ) Save
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- Three positive solutions for second order m-point boundary value problems
- LIU Shu-kuan
- J4. 2012, 47(10): 38-44.
- Abstract ( 539 ) PDF (666KB) ( 1634 ) Save
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- Solvability of the matrix equation AXB+CXTD=E
- ZHAO Lin-lin
- J4. 2012, 47(10): 45-48.
- Abstract ( 399 ) PDF (575KB) ( 1034 ) Save
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- On localization of eigenvalues in elliptic region
- CAO Hai-song， WU Jun-liang
- J4. 2012, 47(10): 49-53.
- Abstract ( 393 ) PDF (602KB) ( 747 ) Save
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- Some new upper bounds of the spread of a matrix
- LIAO Wen-shi, WU Jun-liang
- J4. 2012, 47(10): 54-58.
- Abstract ( 416 ) PDF (602KB) ( 1303 ) Save
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- Weak(sub)-2-alternating of a class of capacity
- XU Yu-zhen1, JIANG Long1, ZHAO Man2, SUN Qian-yi1
- J4. 2012, 47(10): 59-63.
- Abstract ( 428 ) PDF (621KB) ( 879 ) Save
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- A note on“generalized principle of inclusionexclusion and its application”
- TANG Shan-gang
- J4. 2012, 47(10): 64-69.
- Abstract ( 395 ) PDF (601KB) ( 1019 ) Save
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- Edge average Wiener index of unicyclic graphs of order n
- CAI Hua, MIAO Jie
- J4. 2012, 47(10): 70-74.
- Abstract ( 353 ) PDF (938KB) ( 1163 ) Save
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- Optimality conditions for non-differentiable multi-objective programming in terms of convexificators
- TIAN Xue-quan1, XU Shu2
- J4. 2012, 47(10): 75-80.
- Abstract ( 338 ) PDF (601KB) ( 582 ) Save
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- A full-newton step infeasible interior-point algorithm for monotone linear complementarity problems based on a kernel function
- CHEN Yue-jiao, ZHANG Ming-wang*
- J4. 2012, 47(10): 81-88.
- Abstract ( 399 ) PDF (663KB) ( 1502 ) Save
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- High analysis of Hermite-type rectangular element for nonlinear hyperbolic equation
- WANG Fen-ling1, SHI Dong-wei2
- J4. 2012, 47(10): 89-96.
- Abstract ( 333 ) PDF (626KB) ( 940 ) Save
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- Sufficient and necessary conditions for global stability of generalized Lorenz system and its applications to chaos control
- JU Pei-jun
- J4. 2012, 47(10): 97-101.
- Abstract ( 414 ) PDF (727KB) ( 1442 ) Save
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- Supercyclic subspace of a separable Banach space
- LI Meng-qiao, ZHAO Xian-feng*, SHU Yong-lu
- J4. 2012, 47(10): 102-104.
- Abstract ( 385 ) PDF (611KB) ( 1149 ) Save
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- The analytical solution of bioheat transfer equation in fractal tissue
- SHI Shao-li, CHEN Shan-zhen, JIANG Xiao-yun
- J4. 2012, 47(10): 105-108.
- Abstract ( 472 ) PDF (769KB) ( 1541 ) Save
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- Existence and nonexistence of positive solutions for a third-order three-point boundary value problem
- YANG Chun-feng
- J4. 2012, 47(10): 109-115.
- Abstract ( 357 ) PDF (628KB) ( 1108 ) Save
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- Infinitely many solutions for a class of superlinear p(x)-biharmonic equation
- ZHANG Shen-gui
- J4. 2012, 47(10): 116-120.
- Abstract ( 356 ) PDF (596KB) ( 1169 ) Save
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- On anti-periodic solutions for high-order cellular neural networks model with timevarying delays
- HUANG Zu-da, PENG Le-qun, XU Min
- J4. 2012, 47(10): 121-126.
- Abstract ( 356 ) PDF (821KB) ( 1170 ) Save
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Based on existing results in the literature, the theory of π-block coverings is further discussed. Some properties of π-block coverings are obtained and the transitivity of πblock coverings is proved,which generalizes some known theorems on p-block theory of p-separable groups.

A generalized hereditary pretorsion class F are defined, that is the class of right R-module F is closed under pure submodule, direct limits, and pure homomorphism image. It is shown that if Fis a generalized hereditary pretorsion class closed under extension and R∈F, then every right R-module has an F-cover. And it is proved that if Fis a generalized hereditary pretorsion class, then every right R-module has an F-preenvelope if and only if F is closed under products.

The structure of a finite group G is studied when G has exactly two conjugacy class lengths of a class of p-regular elements for a prime p dividing the order of G. A recent result is improved.

Using elementary methods analogue to the classification of simple finite dimensional modules of quantum group Uq(sl2), all simple finite dimensional modules of quantum matrix algebra Mq(2) are classified. It turns out that when q is not a root of unity all simple finite dimensional modules are only with dimension 1, and when q is rth root of unity with odd r all simple modules are finite with dimension 1 and r.

Let R be a ring, and G be a locally finite group. Then the group ring RG is semiboolean if and only if R is semiboolean and G is a 2-group.

semiboolean rings; group rings; 2-groups; clean rings

convex body; Lp-mixed projection body; λ-intersection bodies; Lp-mixed curvature function; isometrically embedded in Lp; Minkowski-Funk transforms

Some optimal and suboptimal 2-generator quasi-twisted codes are constructed from a class of equidistance negacyclic codes over finite field F3.

The E-singular values of rectangular tensors are introduced, the properties of E-eigenvalues of real symmetric square tensors are generalized to the E-singular values of real partially symmetric rectangular tensors, and the orthogonal similarity of rectangular tensors is investigated.

The problem for the solvability of the matrix equation AXB+CXTD=E is considered by using the Moore—Penrose generalized inverse of the matrix. Some solvability conditions and a general solution to this equation are obtained.

Some characteristics about the real and imaginary part of matrix eigenvalues are discussed, and obtains some sharper upper bounds of the spread of a matrix. All the eigenvalues of an arbitrarily given matrix are located in elliptic regions is proved and give another upper bounds of the spread of a matrix. An example illustrates the effectiveness of our results.

A class of capacity was induced by the nonlinear expectations, and the properties of this capacity were studied. In order to better describe the characteristics of capacity, the notion of weak-2-alternating was proposed. Then the weak-2-alternating, sub-2-alternating and 2-alternating of capacity were respectively studied by using the properties of nonlinear expectations. Final, a theorem of the odd nonlinear expectations operator was obtained, which makes these three properties to be equivalent.

A generalized principle of inclusion-exclusion which is a essential improvement of a well known theorem is given on a weighted finite set. By using generalized principle of inclusion-exclusion, a kind of ménage problem is extended and some enumerating theorems are given on the ménage problem.

For a non-differentiable multi-objective programming (MP) problem with inequality constraints, the necessary conditions were established under generalized Slater constraint qualification and generalized linear independence constraint qualification in terms of the concept of convexificators, and the results were extended to the multiobjective optimization.

A full-newton step infeasible interior-point algorithm for monotone linear complementarity problems based on a kernel function was presented. The main iteration of the algorithm consists of a feasibility step and several centrality steps. By using some new analysis tools, the polynomial complexity bound for the algorithm was obtained, namely, Onlogmax｛(x0)Ts0,‖r0‖｝n, which is consistent with the currently best iteration bound for infeasible interior-point methods of monotone linear complementarity.

A Hermite-type rectangular finite element approximation is discussed for nonlinear hyperbolic equation. The superclose property in H1-norm is obtained by use of high accuracy analysis of the element, meanvalue theorem and the derivative transfering technique. The superconvergence result is derived with interpolation postprocessing method. Finally, the fourthorder extrapolation estimation which is as same as that of the linear problem is deduced through constructing a new extrapolation scheme.

The global stability of zero equilibrium point of the generalized Lorenz system was studied,and some algebraic criteria of globally exponential stability and globally asymptotical stability were obtained. Then,based on these criteria, some less conservative feedback-control laws that can guarantee the globally exponential stability of the controlled Chen system, L system and YangChen system were presented.

By considering the operator norm topology and strong operator topology, the relationships between the left multiplication mapping and a supercyclic operator T are discussed, and a sufficient condition for T to have supercyclic subspace is also obtained.

The bioheat transfer equation in fractal tissue is established by applying the fractional finite Hankel transform, Laplace transform and their inverse transforms. The analytical solutions of the equation are presented. And classical bioheat transfer equation in cylindrical coordinates as a special case is proved.

P(x)-biharmonic equation is an important model of differential equation from non-Newtonian fluid theory and nonlinear elasticity. In this paper, we investigate the existence of infinitely many solutions for p(x)-biharmonic equation by critical point theory. Under a condition weaker than Ambrosetti-Rabinowitz′s superlinear condition, some sufficient conditions for the existence of infinitely many solutions are obtained, and results improve the existing ones.

An anti-periodic solutions for high-order cellular neural networks with time-varying delays is studied. The new sufficient conditions for the existence and exponential stability of anti-periodic solutions are obtained. The results are illustrated by a numerical simulation example.