The Work of Kim and Roush on Questions of Decidability in Algebra and Number Theory

The Work of Kim and Roush in Symbolic Dynamics

Contents 1. Introduction 1 2. Decidability results 1 3. Shift and strong shift equivalence for Boolean matrices 3 4. Strong shift equivalence of positive matrices over subrings of R 4 5. Automorphisms of the shift 4 6. The nonzero spectra of nonnegative integral matrices 6 7. The classification problem for shifts of finite type 6 8. Classification of free Z p actions on mixing SFTs 7 9. Topolog...

Decidability and Tameness in the Theory of Finite Semigroups

ON THE USE OF KULSHAMMER TYPE INVARIANTS IN REPRESENTATION THEORY

Since 2005 a new powerful invariant of an algebra has emerged using the earlier work of Horvath, Hethelyi, Kulshammer and Murray. The authors studied Morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. It was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

Arithmetic Teichmuller Theory

By Grothedieck's Anabelian conjectures, Galois representations landing in outer automorphism group of the algebraic fundamental group which are associated to hyperbolic smooth curves defined over number fields encode all arithmetic information of these curves. The goal of this paper is to develope and arithmetic teichmuller theory, by which we mean, introducing arithmetic objects summarizing th...

Determination of the Parameters of Six Multiple Choice Tests of Mashhad University of Medical Sciences (1389-90) based on Item-Response Theory (IRT)

Background: According to the industrialization of countries and development of societies, tests and methods are required to employ people in industries and organizations and make the best selection in getting workforce. Interviews, Written tests  , and multiple choice tests are common methods used in employing people. Among these methods  , multiple choice tests is the easiest one because of th...