弱(F)-反演半群上的模糊(F)-核正规系

借助于模糊(F)-核正规系刻画了弱(F)-反演半群S(P)上的强(F)-同余.证明了S(P)上的每一个模糊强(F)-同余都是由它的模糊(F)-核正规系所唯一决定的.     

弱(D)-反演半群上的强(D)-同余Ⅱ

刻画了弱(D)-反演半群S(P)上满足P-trμN=πN的最大的强(D)-同余;给出了S(P)上的特征核正规系的一种抽象刻画.     

弱Y-反演半群上的模糊Y-核正规系

借助于模糊Y-核正规系刻画了弱Y-反演半群S（P）上的强Y-同余。证明了S（P）上的每一个模糊强Y-同余都是由它的模糊Y-核正规系所唯一决定的。     

P-反演半群上的强P-同余

本文介绍了P-反演半群S(P)的概念，借助于核与迹刻画了P-反演半群上的强P-同余，并且证明了S(P)上的任一强P-同余可以决定S(P)的一个强P-同余对，反之S(P)的任一强P-同余对，可以决定S(P)上的一个强P-同余.     

φ-正则半群上的φ-同余(英文)

给出了-正则半群内的-核正规系统的一个等价刻划并用-核正规系统描述了-正则半群上的强-同余．     

半群上的模糊群同余

设 S是一个半群 ,ρ是 S上的一个模糊同余。引进半群的模糊半正规子半群的概念 ,证明ρ是 S上的一个模糊群同余当且仅当它的模糊核 K(ρ)是 S的模糊半正规子半群 ;而且对每个给定的模糊半正规子半群 μ可以构造一个模糊同余 ρμ 使得它的模糊核 K(ρμ) =μ.     

E-反演P-半群上的强P-同余

令S(P)为E-反演P-半群．本文用核与迹研究了S(P)上的强P-同余．证明了S(P)的任一强P-同余对，可以决定S(P)上的一个强P-同余；反之，S(P)上的任一强P-同余，可以决定S(P)的一个强P-同余对。     

带逆断面的正则半群上的强模糊同余

带逆断面的正则半群是一类重要的正则半群.就带逆断面的正则半群类引入强模糊同余的概念,进而用所谓的强模糊同余三元组抽象地刻画带逆断面的正则半群上的强模糊同余.     

弱P-反演半群上的强P-同余Ⅱ

刻画了弱P-反演半群S(P)上满足P-trμN=πN的最大的强P-同余;给出了S(P)上的特征核正规系的一种抽象刻画.     

P-反演半群上的正则P-同余

令S(P)为P-反演半群，本文借助于P-核正规系来刻画S(P)上的强P-同余，证明了S(P)上的任一正则P-同余可以决定S(P)的一个P-核正规系；反之，S(P)的任一P-核正规系可以决定S(P)上的一个正则P-同余．     

On pseudo-random properties of P (n) and P (n + 1)

We study the pseudo-random properties of the inequalities P (n) < P (n+1) or P (n) > P (n+1) (where P (n) denotes the greatest prime factor of n) for both well-distribution and correlation.     

Bounds on the solution of the time-varying linear matrix differential equation P(t) = AH(t) P(t) + P(t) A(t) + Q(t)

^** Email: pagilla{at}ceat.okstate.edu We derive upper and lower bounds for the trace of the solutionof the time-varying linear matrix differential equation (t)= A^H(t) P(t) + P(t) A(t) + Q(t). A practical numerical exampleis given to verify the bounds. The bounds obtained are usefulsince the considered equation is encountered in a number ofapplications in systems and control theory.     

Proximal-isometric (P J) flows

We develop some new tools for the study of minimal transformation groups (flows) and apply these tools to extend the classification theory of minimal flows to a larger class than has previously been classified. The tools we develop arise from a simplification and unification of the techniques used by Furstenberg, Ellis, and Veech in their proofs of structure theorems about distal and point distal flows. This simplification is made possible largely through the use of recent results of Glasner on the structure of 2^X (whose points consist of closed subsets of the phase space X of a given flow).     

On the spacel P(β)

Let\(\{ \beta (n)\} _{n = 0}^\infty \) be a sequence of positive numbers and 1 ≤p < ∞. We consider the spacel ^P(β) of all power series\(f(z) = \sum\limits_{n = 0}^\infty {\hat f(n)z^n } \) such that\(\sum\limits_{n = 0}^\infty {|\hat f(n)|^p |\beta (n)|^p } \). We give a necessary and sufficient condition for a polynomial to be cyclic inl ^P(β) and a point to be bounded point evaluation onl ^P(β).     

On new realizations of the poincare groups P (1,2) and P(2, 2)

We classify realizations of the Poincare groups P (1, 2) and P (2, 2) in the class of local Lie groups of transformations and obtain new realizations of the Lie algebras of infinitesimal operators of these groups.     

L-spaces and S-spaces in P(ω)

We show that CH implies that $\text{P}\text{(ω)}$, when equipped with the Vietoris topology, has a subspace which is an L-space and a subspace which is an S-space. This is an immediate consequence of the following purely combinatorial result: CH implies the existence of an ω₁-sequence 〈x_α: α < ω₁〉 in $\text{P}\text{(ω)}$ such that (1) if α<β<ω₁, then $\text{X}{}_{\mathrm{\beta }}\text{?}{}^1\text{X}{}_{\mathrm{\alpha }}$; (2) if I ?ω₁ is unaccountable, then there are distinct α, β ∈ I with X_β ?X_α.     

Flat Acts that Satisfy Condition (P)

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Ponomarev系与可数型的（P）映射

本文讨论了3类Ponomarev系中（P）映射与子集族的精确关系，获得了下列的结论：（1）在Ponomarev系（f，M，X，P）中f是点有限（点可数）映射当且仅当P是X的点有限（点可数）网络；（2）在Ponomarev系（f，M，X，P）中f是紧有限（紧可数）映射当且仅当P是X的紧有限（紧可数）网络；（3）在Ponomarev系（f，M，X，P）中f是局部有限（局部可数）映射当且仅当P是X的局部有限（局部可数）网络．