A local ring R is called Z-local if J(R) = Z(R) and J(R) = 0. In this paper the structures of a class of Z-local rings are determined.

This study examined the ligninase-catalysed degradation of lignin model compounds representing the arylglycerol ,-aryl ether substructure, which is the dominant one in the lignin polymer. Three dimeric model compounds were used, all methoxylated in the 3and 4-positions of the arylglycerol ring (ring A) and having various substituents in the ,-ether-linked aromatic ring (ring B), so that competi...

We present high resolution observations of CS(J=1-0), H13CO+ (J=1-0), and SiO(v=0:J=1-0) lines, together with the 49GHz 86GHz continuum emissions, toward W49N carried out Nobeyama Millimeter Array. identified 11 CS, 8 H13CO+, 6 SiO clumps radii 0.1-0.5pc. The CS are mainly divided into two velocity components, one at 4kms-1 other 12kms-1, while have velocities between components. emission is di...

Phytochrome photoreceptors in plants and microorganisms switch photochromically between two states, controlling numerous important biological processes. Although this phototransformation is generally considered to involve rotation of ring D of the tetrapyrrole chromophore, Ulijasz et al. (Ulijasz, A. T., Cornilescu, G., Cornilescu, C. C., Zhang, J., Rivera, M., Markley, J. L., and Vierstra, R. ...

In this lecutre note, we consider infinite dimensional Lie algebras of generalized Jacobi matrices $\mathfrak{g}J(k)$ and $\mathfrak{gl}_\infty(k)$, which are important in soliton theory, their orthogonal symplectic subalgebras. particular, construct the homology ring algebra

We study the ${J}_{1}\text{\ensuremath{-}}{J}_{2}\text{\ensuremath{-}}{J}_{3}$ classical Heisenberg model with ferromagnetic ${J}_{1}$ on triangular lattice using nematic bond theory. For parameters where momentum space coupling function ${J}_{\stackrel{P\vec}{q}}$ shows a discrete set of minima, we find that system in general exhibits single first-order phase transition between high-temperatur...

Let KO(CP) be the KO-ring of the complex projective space CP. By means of methods of rational D-series [4], a formula for the J-orders of elements of KO(CP) is given. Explicit formulas are given for computing the J-orders of the canonical generators of KO(CP) and the J-order of any complex line bundle over CP.

We introduce and study a new class of generalized inverses in rings. An element ring R has Zhou inverse if there exists b∈R such that bab=b,b∈comm2(a),an−ab∈J(R) for some n∈N. We...

As usual, Z, Q and C stand for the ring of integers, the field of rational numbers and the field of complex numbers respectively. If l is a prime then we write Fl,Zl and Ql for the l-element (finite) field, the ring of l-adic integers and field of l-adic numbers respectively. If A is a finite set then we write #(A) for the number of its elements. Let K be a field of characteristic different fro...

Blowup ring profiles have been investigated by finding self-similar non-vortex solutions of nonlinear Schrödinger equations (NLSE) (cf. [4] and [5]). However, those solutions have infinite L norm so one may not maintain the ring profile all the way up to the singularity. To find selfsimilar H non-vortex solutions with ring profiles, we study self-similar solutions of two-component systems of NL...