The cohomology ring of the complement of a central complex hyperplane arrangement is the well-studied Orlik-Solomon algebra. The homotopy group of the complement is interesting, complicated, and few results are known about it. We study the ranks for the lower central series of such a homotopy group via the linear strand of the minimal free resolution of the field C over the Orlik-Solomon algebra.

The Fistulipora microparallela (Yang and Lu, 1962) species is described for the first time from the Sakmarian deposits of the Sarab section in Lut Block, Central Iran. This species has been reported only from the Permian (Cisuralian-Guadalupian) of the Qilianshan and Kankerin formations, and the Baliqliq Group (Upper Carboniferous to Lower Permian) of Western Xinjiang, China.

Residually thin and nilpotent table algebras, which are abstractions of fusion rings adjacency algebras association schemes, defined investigated. A formula for the degrees basis elements in residually is established, yields an integrality result Gelaki Nikshych as immediate corollary; it shown that this holds only such algebras. These theorems specialize to new results schemes. Bi-anchored thi...

We study the cohomology H(A) = Ext∗A(k, k) of a locally finite, connected, cocommutative Hopf algebra A over k = Fp. Specifically, we are interested in those algebras A for which H∗(A) is generated as an algebra by H(A) and H(A). We shall call such algebras semi-Koszul. Given a central extension of Hopf algebras F → A → B with F monogenic and B semiKoszul, we use the Cartan-Eilenberg spectral s...

extended abstract 1. introduction climate change refers to the increase or decrease in the average climatic factors over a long period of time (i.e. more than 30 years). today, climate change has become a human concern and the scientific community are already aware of this fact. global temperature has followed an unprecedented increase over the last hundred years. based on synoptic climatology,...

Background: The bronchopulmonary carcinoid tumor accounts for 1-2% of all adult malignancies of the lung and 20-30% of all carcinoid tumors. Cushing’s syndrome is the result of chronic exposure to increased concentration of exogenous or endo-genus cortisol hormone, and it is generally associated with central obesity, metabolic syndrome, and hypertension. Treatment is based on decreasing cortiso...