in this paper, we compute the number of fuzzy subgroups of some classes of non-abeilan groups. explicit formulas are givenfor dihedral groups $d_{2n}$, quasi-dihedral groups $qd_{2^n}$, generalized quaternion groups $q_{4n}$ and modular $p$-groups $m_{p^n}$.

This study aimed to analyze the neuroprotective effects of various exercise intensities in a mouse model depressive behavior disorders. Seven-week-old male C57BL/6 mice were divided into control group, disorder group (RST), moderate-intensity sustained (RST_MICT), high-intensity (RST_HICT), and interval (RST_HIIT). The animal was established by applying restraint stress (RST) at 2 h/day for 14 ...

This article presents a reduced-order generalized proportional-integral observer based resonant super-twisting sliding mode controller (RST-SMC) for the three-phase ac-dc converters. On contrary to utilizing in regulating dc-link voltage, which may cause large undershoot/overshoot under disturbance, proposed voltage control strategy has high disturbance rejection ability and settling time been ...

Guang’ai Song and Yucai Su Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China E-mail: [email protected], [email protected] Abstract. In a paper by Michaelis a class of infinite-dimensional Lie bialgebras containing the Virasoro algebra was presented. This type of Lie bialgebras was classified by Ng and Taft. In this paper, all Lie bialgebra structures on the Lie a...

We prove a conjecture which expresses the bigraded Poisson-de Rham homology of the nilpotent cone of a semisimple Lie algebra in terms of the generalized (one-variable) Kostka polynomials, via a formula suggested by Lusztig. This allows us to construct a canonical family of filtrations on the flag variety cohomology, and hence on irreducible representations of the Weyl group, whose Hilbert seri...

We present a closed model structure for the category of pro-spectra in which the weak equivalences are detected by stable homotopy pro-groups. With some bounded-below assumptions, weak equivalences are also detected by cohomology as in the classical Whitehead theorem for spectra. We establish an Atiyah-Hirzebruch spectral sequence in this context, which makes possible the computation of topolog...