r is called commuting regular ring (resp. semigroup) if for each x,y $in$ r thereexists a $in$ r such that xy = yxayx. in this paper, we introduce the concept of commuting$pi$-regular rings (resp. semigroups) and study various properties of them.

Superposition states of circular currents exciton-polaritons mimic the superconducting flux qubits. The phase a polariton fluid must change by an integer number $2\pi$, when going around ring. If one introduces ${\pi}$-phase delay line in ring, is obliged to propagate clockwise or anticlockwise current reduce total gained over round-trip zero build it up $2\pi$. We show that such $\pi$-delay ca...

The reaction between Ph2PH and C6F5CNS leads to the formation of the polyfluorinated benzothiazolephosphine ligand Ph2P(CNS)(C6F4) 1. The mechanism of the reaction involves the addition of the phosphine to the isothiocyanate and subsequent intramolecular nucleophilic aromatic substitution. This new ligand reacts with gold(I) substrates producing complexes [AuCl{Ph2P(CNS)(C6F4)}] 2 and [Au(C6F5)...

(MEDICAGO SATIVA): BATCH PH, TIME, TEMPERATURE, AND IONIC STRENGTH STUDIES 1 I. Herrera, 1,2 J.L. Gardea-Torresdey, 1 K.J. Tiemann, 2 J.R. Peralta-Videa, 1 V. Armendariz, and J.G. Parsons 1Department of Chemistry, 500 W. University Ave, University of Texas at El Paso, El Paso, TX 79968; Phone: (915)747-5359; Fax: (915)747-5748. 2Environmental Science and Engineering Ph.D. Program,University of ...

We give a practical criterion characterizing the monogenicity of the integral closure of a Dedekind ring R, based on results on the resultant Res(P,Pi) of the minimal polynomial P of a primitive integral element and of its irreducible factors Pi modulo prime ideals of R. We obtain a generalization and an improvement of the Dedekind criterion (Cohen, 1996) and we give some applications in the ca...