We study a bijective map from integer partitions to the prime factorizations of integers that we call “supernorm” partition, in which multiplicities parts are mapped factors natural numbers. The supernorm is connected family maps define, suggests potential apply techniques partition theory identify and prove multiplicative properties integers. As an application “supernormal” mappings (i.e., per...

The echeline genus Leptencbelys is recognized as monotypic and differs markedly from M uraenich th ys. Scbism orbyncbus, genus novum, is erected for M uraenichth ys labialis Seale. The genus M uraenichthys contains 19 known species in the tropical, subtropical, and temperate Indo-Pacific Ocean. M. cbilensis, a new species showing affinities to southern Australian congeners, is the first known f...

—KLB To my parents Leila and Havis Stein.. . —YS. .. with much love and thanks for all that you have taught us.

Measurement of the Lambda(0)(b) Lifetime in Lambda(0)(b)-> Lambda(+)(c)pi(Decays ys in p(p)over-bar Collisions at root s=1.96 TeV

The main goal of this article is to explore the concepts graded ϕ-2-absorbing and primary submodules as a new generalization 2-absorbing submodules. Let ϕ:GS(M)→GS(M)⋃{∅} be function, where GS(M) denotes collection R-submodules M. A proper K∈GS(M) said R-submodule M if whenever x,y are homogeneous elements R s element with xys∈K−ϕ(K), then xs∈K or ys∈K xy∈(K:RM), we call K xs ys in radical xy∈(...