In this paper, we introduce a new class of distributions by compounding the exponentiated extended Weibull family and power series family. This distribution contains several lifetime models such as the complementary extended Weibull-power series, generalized exponential-power series, generalized linear failure rate-power series, exponentiated Weibull-power series, generalized modified Weibull-p...

Let D be a Noetherian domain containing a field, a ∈ D a nonzero nonunit and z an indeterminate over D. We prove that the generic fiber of the extension D[[z]] →֒ D[1/a][[z]] has dimension ≥ dim(D/aD). 2000 Mathematics Subject Classification: 13F25, 13J10.

abstract. let r be a 2-torsion free ring with identity. in this paper, first we prove that any jordan left derivation (hence, any left derivation) on the full matrix ringmn(r) (n  2) is identically zero, and any generalized left derivation on this ring is a right centralizer. next, we show that if r is also a prime ring and n  1, then any jordan left derivation on the ring tn(r) of all n×n up...