Mathematical Fundamentals II: Abstract Algebra

2020 ◽  
pp. 205-224
Author(s):  
Amos R. Omondi
Keyword(s):  
Abstract Algebra

scholarly journals Including School Mathematics Teaching Applications in an Undergraduate Abstract Algebra Course

PRIMUS ◽  
2021 ◽  
pp. 1-29
Author(s):  
James A. Mendoza Alvarez ◽  
Andrew Kercher ◽  
Kyle Turner ◽  
Elizabeth G. Arnold ◽  
Elizabeth A. Burroughs ◽  
...  
Keyword(s):  
Mathematics Teaching ◽  
Abstract Algebra ◽  
School Mathematics

A Little Color in Abstract Algebra

1982 ◽  
Vol 89 (6) ◽  
pp. 417 ◽  
Author(s):  
G. P. Wene
Keyword(s):  
Abstract Algebra

scholarly journals Dreibens Modulo 7: A New Formula for Primality Testing

Elements ◽  
2016 ◽  
Vol 12 (1) ◽  
Author(s):  
Arthur Diep-Nguyen
Keyword(s):  
Number Theory ◽  
Linear Algebra ◽  
Abstract Algebra ◽  
Additional Insight ◽  
Primality Testing ◽  
New Formula ◽  
Insight Into ◽  
Rule Out

In this paper, we discuss strings of 3’s and 7’s, hereby dubbed “dreibens.” As a first step towards determining whether the set of prime dreibens is infinite, we examine the properties of dreibens when divided by 7. by determining the divisibility of a dreiben by 7, we can rule out some composite dreibens in the search for prime dreibens. We are concerned with the number of dreibens of length n that leave a remainder i when divided by 7. By using number theory, linear algebra, and abstract algebra, we arrive at a formula that tells us how many dreibens of length n are divisible by 7. We also find a way to determine the number of dreibens of length n that leave a remainder i when divided by 7. Further investigation from a combinatorial perspective provides additional insight into the properties of dreibens when divided by 7. Overall, this paper helps characterize dreibens, opens up more paths of inquiry into the nature of dreibens, and rules out some composite dreibens from a prime dreiben search.

CARRY GROUPS: ABSTRACT ALGEBRA PROJECTS

PRIMUS ◽  
2004 ◽  
Vol 14 (3) ◽  
pp. 258-268
Author(s):  
Cheryl Chute Miller ◽  
Blair F. Madore
Keyword(s):  
Abstract Algebra

Core Concepts in Abstract Algebra

2012 ◽  
pp. 239-291
Author(s):  
Daniel W. Cunningham
Keyword(s):  
Abstract Algebra ◽  
Core Concepts

Abstract Algebra: Ring Theory

2020 ◽  
pp. 199-220
Author(s):  
Menny Aka ◽  
Manfred Einsiedler ◽  
Thomas Ward
Keyword(s):  
Abstract Algebra ◽  
Ring Theory

scholarly journals Validity of The Abtract Algebra Teaching Book

2020 ◽  
Vol 4 (1) ◽  
pp. 17-23
Author(s):  
Leo Adhar Effendi ◽  
Sindi Amelia
Keyword(s):  
Small Groups ◽  
Formative Evaluation ◽  
Field Tests ◽  
Abstract Algebra ◽  
Development Research ◽  
Evaluation Design ◽  
Self Evaluation ◽  
High Level ◽  
Very High ◽  
Difficult Subjects

The Abstract Algebra is one of the most difficult subjects for students. In this course, students are required to have several textbooks as their reading source. However, the existing textbooks do not guide students in carrying out the process of preparing evidence and tend to speak non-Indonesian languages. The purpose of this research is to design and develop textbooks on abstract algebra courses which contain proofs in full step by step that can improve the ability to organize evidence. This type of research is development research with formative evaluation design consisting of self-evaluation, prototyping (expert reviews, one-to-one, and small groups), and field tests. The validity of the development of abstract algebra textbook is passed through the stages of self-evaluation and expert reviews. The results showed that the prototype of abstract algebra teaching books had a very high level of validity (89.29%).

Enumerating Small Sudoku Puzzles in a First Abstract Algebra Course

PRIMUS ◽  
2008 ◽  
Vol 18 (2) ◽  
pp. 149-157 ◽  
Author(s):  
Crystal Lorch ◽  
John Lorch
Keyword(s):  
Abstract Algebra

Applied Abstract Algebra

1984 ◽  
Author(s):  
Rudolf Lidl ◽  
Günter Pilz
Keyword(s):  
Abstract Algebra
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