Corrigendum to "On the dimension of an Abelian group" [Notes on Number Theory and Discrete Mathematics, 2022, Volume 27, Number 4, Pages 267-275]

Discrete Mathematics Number theory

The focus of this entire note is on positive integers. I will start by the basic notion of divisibility. We say that a divides b, or a is a divisor of b, or b is a multiple of a, if there exists an integer m such that b = am We also denote this by a | b (a divides b). If a is not a divisor of b, the we write a | b, but we can still talk about division by a with a remainder r. Given any two inte...

Asymptotic Group Theory, Volume 48, Number 4

W hat is the probability that two randomly chosen permutations of 1, . . . , n generate the group Sn of all permutations of 1, . . . , n ? How many subgroups of index n can a group with two generators have? What can be said about a group of order 2n which has a nonidentity commutator of length n− 10? These questions all concern different aspects of a field which is very active nowadays and whic...

Notes on Algebraic Number Theory

1 Number Fields 2 1.1 Norm, Trace, and Discriminant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2 Algebraic Integers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2 Dedekind Rings 7 2.1 Fractional Ideals and Unique Factorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2 The Ideal Class Group ...

an investigation of the impact of self monitoring on langauge teachers motivational practice and its effect on learners motivation

the central purpose of this study was to conduct a case study about the role of self monitoring in teacher’s use of motivational strategies. furthermore it focused on how these strategies affected students’ motivational behavior. although many studies have been done to investigate teachers’ motivational strategies use (cheng & d?rnyei, 2007; d?rnyei & csizer, 1998; green, 2001, guilloteaux & d?...

Basic and Clinical Neuroscience, Volume 4, Number 4, Full Text