In this paper we introduce a class of partially ordered sets, called differential posets, with many remarkable combinatorial and algebraic properties. (Terminology from lattice theory and the theory of partially ordered sets not explained here may be found in [St6].) The combinatorial properties of differential posets are concerned with the counting of saturated chains Xl < x2 < ... < x k or of...

let $r$ be an associative ring with identity. an element $x in r$ is called $mathbb{z}g$-regular (resp. strongly $mathbb{z}g$-regular) if there exist $g in g$, $n in mathbb{z}$ and $r in r$ such that $x^{ng}=x^{ng}rx^{ng}$ (resp. $x^{ng}=x^{(n+1)g}$). a ring $r$ is called $mathbb{z}g$-regular (resp. strongly $mathbb{z}g$-regular) if every element of $r$ is $mathbb{z}g$-regular (resp. strongly $...

A. Borel proved that, if a finite group F acts effectively and continuously on a closed aspherical manifold M with centerless fundamental group π1(M), then a natural homomorphism ψ from F to the outer automorphism group Outπ1(M) of π1(M), called the associated abstract kernel, is a monomorphism. In this paper, we investigate to what extent Borel’s theorem holds for a compact Lie group G acting ...

Dually modified regular maize starch (RMS) and high-amylose (HAMS) were successfully prepared by first acid hydrolysis subsequently hydroxypropylation. The effects of time (0–24 h) propylene oxide (PO) content (10–30%) on the structure physicochemical properties investigated. molar substitution (MS) HAMS samples (up to 0.163) was generally higher than that RMS 0.149), suggesting reactivity amyl...

S. Monsell, K. E. Patterson, A. Graham, C. H. Hughes, and R. Milroy (1992) reported that high-frequency irregular words are named faster when presented in a "pure" block than when mixed with nonwords. They attributed this effect to a de-emphasis of an assembly route in the pure block. The current authors replicated this effect in Experiment 1. In Experiments 2 and 3, similar effects resulted fr...

We consider concurrent two-player timed automaton games with ω-regular objectives specified as parity conditions. These games offer an appropriate model for the synthesis of real-time controllers. Earlier works on timed games focused on pure strategies for each player. We study, for the first time, the use of randomized strategies in such games. While pure (i.e., nonrandomized) strategies in ti...

During the last decades, structure of mod-2 cohomology Steenrod ring $\mathscr {A}$ became a major subject in Algebraic topology. One most direct attempt studying this by means modular representations general linear groups was surprising work [ Math. Z. 202 (1989), 493–523] William Singer, which introduced homomorphism, so-called algebraic transfer , mapping from coinvariants certain representa...

Contractions in whole skeletal muscle during hypoxia are known to generate reactive oxygen species (ROS); however, identification of real-time ROS formation within isolated single skeletal muscle fibers has been challenging. Consequently, there is no convincing evidence showing increased ROS production in intact contracting fibers under low Po₂ conditions. Therefore, we hypothesized that intrac...