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101
Irreducible representation of finite metacyclic group of nilpotency class two of order 16
Published 2013“…Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. It originated in the study of permutation groups, and algebras of matrices. …”
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Thesis -
102
An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method
Published 2013“…Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. For any group, the number of possible representative sets of matrices is infinite, but they can all be reduced to a single fundamental set, called the irreducible representations of the group. …”
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103
How Do We Create Experiences for Students That Connect with What They Care About?
Published 2018-10-01“…More precisely, the students deal with concepts related to pure abstract algebra, beginning with an exploration of the well known mathematical game of the Hanoi Towers on the three rods.…”
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104
The Anatomy of Large Scale Systems
Published 2016“…We propose that abstract algebra has at least some of the needed concepts.…”
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Working Paper -
105
Tales from Verification History
Published 2009“…The fundamental ideas stem from diverse areas ranging from philosophy and linguistics to abstract algebra. In this talk, I will trace two threads in this tangled and colourful history: (1) Attempts to connect programming to logical reasoning, and (2) The drive to develop an algebra to model program behaviour. …”
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106
Understanding the reasons that hinder mobile e-book use of university mathematics students
Published 2019“…Eight postgraduate Mathematics students from Abstract Algebra research group from a local public university in Malaysia were interviewed and observed. …”
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107
Finite cyclic group of p-power order and its compatibility conditions
Published 2023“…Finite cyclic groups of p-power order, where p represents a prime number, have long been an interesting field of study in abstract algebra. This paper investigates the compatibility conditions that control their existence and behaviour. …”
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108
Case Study on Intra-mathematical Connections when Solving Tasks Associated with the Classification of Groups of Prime Order
Published 2021-10-01“… In Abstract Algebra, isomorphism is a difficult concept to understand for undergraduate students. …”
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109
On BDM-Algebras
Published 2023-03-01“… Abstract algebra is one of the influential branches in the field of pure Mathematics. …”
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110
The Legacy of Peter Wynn
Published 2021-05-01“…They concern continued fractions, rational (Padé) approximation, Thiele interpolation, orthogonal polynomials, moment problems, series, and abstract algebra. The purpose of this paper is to analyze them and to make them available to the mathematical community. …”
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111
Investigation of Prospective Mathematics Teachers’ Proof Completion Processes Supported By Key Ideas
Published 2023-04-01“… The aim of this research was to examine prospective mathematics teachers’ completion processes of mathematical proofs supported by key ideas in the field of abstract algebra. Prospective teachers were asked to complete the parts of a proof left incomplete using those key ideas. …”
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112
Finally, a polymorphic linear algebra language (Pearl)
Published 2019“…The design of this domain-specific language (DSL) is inspired by both mathematics and programming languages: its basic constructs are borrowed from abstract algebra, whereas the key technology behind its polymorphic design uses the tagless final approach (a.k.a. polymorphic embedding/object algebras). …”
Conference item -
113
Irreducible representation of finite metacyclic group of nilpotency class two of order 16
Published 2013“…Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. It originated in the study of permutation groups, and algebras of matrices. …”
Get full text
Thesis -
114
Improving the efficiency of using multivalued logic tools: application of algebraic rings
Published 2023-12-01“…Abstract It is shown that in order to increase the efficiency of using methods of abstract algebra in modern information technologies, it is important to establish an explicit connection between operations corresponding to various varieties of multivalued logics and algebraic operations. …”
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115
An Extension of the Concept of Derivative: Its Application to Intertemporal Choice
Published 2020-05-01“…The framework of this paper is the concept of derivative from the point of view of abstract algebra and differential calculus. The objective of this paper is to introduce a novel concept of derivative which arises in certain economic problems, specifically in intertemporal choice when trying to characterize moderately and strongly decreasing impatience. …”
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116
On Pythagorean fuzzy ideals of a classical ring
Published 2023-01-01“…Ring theory is a prominent branch of abstract algebra, vibrant in wide areas of current research in mathematics, computer science and mathematical/theoretical physics. …”
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117
Methods of Mathematical Proof and Logic in Mathematics Courses at the Faculty of Education – Sana'a University
Published 2021-05-01“…The tools were applied to a sample of mathematics courses, including mathematical analysis, real analysis and abstract algebra (1), (2). The findings revealed that the most frequent proof methods found in mathematical courses were proof by deduction and transgression (65.86%) of the total methods, followed by proof by mathematical induction (11.75%), and the least frequent was proof by contradiction (9.61%). …”
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118
On the restricted graded Jacobson radical of rings of Morita context
Published 2022“…In fact, the Jacobson radical is one of the most important radical classes since it is used widely in another branch of abstract algebra, for example, to construct a two-sided brace. …”
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119
O Movimento da Construção das Estruturas da Álgebra: uma visada fenomenológica The Movement of the Construction of the Structures of Algebra: a phenomenological approach
Published 2008-08-01“…There are in this article: the research mainly question, the investigative movement and the analyses development; focused on the way the research ideas were built, because they build the research and its implication on the Mathematics Education about the way the Abstract Algebra is taught. Keywords: Algebra. …”
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120
Methods of Mathematical Proof and Logic in Mathematics Courses at the Faculty of Education – Sana'a University
Published 2021-05-01“…The tools were applied to a sample of mathematics courses, including mathematical analysis, real analysis and abstract algebra (1), (2). The findings revealed that the most frequent proof methods found in mathematical courses were proof by deduction and transgression (65.86%) of the total methods, followed by proof by mathematical induction (11.75%), and the least frequent was proof by contradiction (9.61%). …”
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Article