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Algebra Commons™

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Journal

2016

Articles 1 - 6 of 6

Full-Text Articles in Algebra

Reduction Of A Nilpotent Intuitionistic Fuzzy Matrix Using Implication Operator, Riyaz A. Padder, P. Murugadas Dec 2016

Reduction Of A Nilpotent Intuitionistic Fuzzy Matrix Using Implication Operator, Riyaz A. Padder, P. Murugadas

Applications and Applied Mathematics: An International Journal (AAM)

A problem of reducing intuitionistic fuzzy matrices is examined and some useful properties are obtained with respect to nilpotent intutionistic fuzzy matrices. First, reduction of irreflexive and transitive intuitionistic fuzzy matrices are considered, and then the properties are applied to nilpotent intutionistic fuzzy matrices. Nilpotent intuitionistic fuzzy matrices are intuitionistic fuzzy matrices which signify acyclic graphs, and the graphs are used to characterize consistent systems. The properties are handy for generalization of various systems with intuitionistic fuzzy transitivity.

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Study On The Q-Conjugacy Relations For The Janko Groups, Ali Moghani Dec 2016

Study On The Q-Conjugacy Relations For The Janko Groups, Ali Moghani

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we consider all the Janko sporadic groups J1, J2, J3 and J4 (with orders 175560, 604800, 50232960 and 86775571046077562880, respectively) with a new concept called the markaracter- and Q-conjugacy character tables, which enables us to discuss marks and characters for a finite group on a common basis of Q-conjugacy relationships between their cyclic subgroups. Then by using GAP (Groups, Algorithms and Programming) package we calculate all their dominant classes enabling us to find all possible Q-conjugacy characters for these sporadic groups. Finally, we prove in a main theorem that all twenty …

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A Generalized Polynomial Identity Arising From Quantum Mechanics, Shashikant B. Mulay, John J. Quinn, Mark A. Shattuck Dec 2016

A Generalized Polynomial Identity Arising From Quantum Mechanics, Shashikant B. Mulay, John J. Quinn, Mark A. Shattuck

Applications and Applied Mathematics: An International Journal (AAM)

We establish a general identity that expresses a Pfaffian of a certain matrix as a quotient of homogeneous polynomials. This identity arises in the study of weakly interacting many-body systems and its proof provides another way of realizing the equivalence of two proposed types of trial wave functions used to describe such systems. In the proof of our identity, we make use of only elementary linear algebra and combinatorics and thereby avoid use of more advanced conformal field theory in establishing the aforementioned equivalence.

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On Factorization Of A Special Type Of Vandermonde Rhotrix, P. L. Sharma, Mansi Rehan Jun 2016

On Factorization Of A Special Type Of Vandermonde Rhotrix, P. L. Sharma, Mansi Rehan

Applications and Applied Mathematics: An International Journal (AAM)

Vandermonde matrices have important role in many branches of applied mathematics such as combinatorics, coding theory and cryptography. Some authors discuss Vandermonde rhotrices in the literature for its mathematical enrichment. Here, we introduce a special type of Vandermonde rhotrix and obtain its LR factorization, namely left and right triangular factorization which is further used to obtain the inverse of the rhotrix.

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Jay Leno And Abstract Algebra, Adam Glesser, Martin Bonsangue Jan 2016

Jay Leno And Abstract Algebra, Adam Glesser, Martin Bonsangue

Journal of Humanistic Mathematics

The Jay Leno skit Jaywalking, showing ordinary people struggling to answer basic questions, is both entertaining and applicable to teaching. This article describes how an instructor can strengthen students' conceptual understanding by creating an element of confusion, or "cognitive dissonance," in the students' minds using Jaywalking-style interactions in the classroom.

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Dramathizing Functions: Building Connections Between Mathematics And Arts, Gunhan Caglayan Jan 2016

Dramathizing Functions: Building Connections Between Mathematics And Arts, Gunhan Caglayan

Journal of Humanistic Mathematics

This article focuses on connections between mathematics and performance arts (drama). More specifically we offer an exposition of a segment of college algebra mathematics (an introduction to functions), with an approach primarily emphasizing the aesthetic aspects of mathematical learning, teaching, and performing.

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