unique factorization
1.For increased channel utilization,based on the unique factorization character of prime-numbers’ product,a new method of channel multiplexing: prime-number division multiple was presented,the work principe and it’s characters were discussed.
2.By means of Gauss Lemma and formal matrix, it is proved that quotient rings of a unique factorization domain (UFD) with respect to its principal ideals are Armendariz rings, and we present a condition for R[x]/(x 2-1) to be an Armendariz ring.
3.A new method for proving the chromatically non-unique graphs is given by studying factorization their adjoint polynomials, and some structure characteristic is obtained.
