9.4		Abstract algebra

A Condition Equivalent to Associativity for Finite Groups, Roy Dobyns, 3:1,
1972, 10-13
Sneaking Up On a Group, Jean J. Pedersen, 3:2, 1972, 9-12
Complex Numbers as Residue Classes of Polynomials mod(x^2+1), Rosemary Schmalz,
S.P., 3:2, 1972, 78-80, C
Rings, Subrings, Identities and Homomorphisms, Pasquale J. Arpaia, 5:1, 1974,
25-28
An Alternative to Euclidean Algorithm, Sidney H. L. Kung, 5:2, 1974, 8-11
A Finite FieldA Finite Geometry and Triangles, Marc Swadener, 5:3, 1974, 22-26,
0.3
Factoring Functions and Relations, Thomas J. Brieske, 6:3, 1975, 8-12, 1.2
Exploring the Gaussian Integers, Robert G. Stein, 7:4, 1976, 4-10
An Algorithm and Its Connection with Abelian Groups, W.G.Leavitt, 7:2, 1976,
16-21
Counterexamples from the Algebra of Polynomials over a Nonfield, Janet B.
Pomeranz, 8:1, 1977, 11-14
Can This Polynomial Be Factored?, Harold L. Dorwart, 8:2, 1977, 67-72, 0.7
An Arithmetic Description of the Dihedral Group, L. N. Somanchi, 11:5, 1980,
327-329, C
Compounding Energy Savings, Leo Chosid, 12:1, 1981, 56-57, C, 0.8
Vector Identities from Quaternions, William C. Schultz, 12:4, 1981, 271-273, C,
5.5
Constructing "Different" Examples for Beginning Abstract Algebra Students,
Eddie Boyd, Jr., 12:5, 1981, 333-334, C
Teaching Mathematics with Rubik's Cube, Tom Davis, 13:3, 1982, 178-185
Isomorphisms on Magic Squares, Ali R. Amir-Moez, 14:1, 1983, 48-51, 0.2, 5.4.1,
9.2, 9.3
Doubling: Real, Complex, Quaternion and Beyond ... Well, Maybe, Robert C.
Moore, 17:4, 1986, 342-343, C
Generating Posets, Harley Flanders, 18:4, 1987, 323-327, 8.2
Is the Distributive Property Redundant?, Douglas L. Cashing, 18:5, 1987,
402-403, C
Rencontres Reencountered, Karl David, 19:2, 1988, 133-148, 3.2
Codes that Detect and Correct Errors, Chester J. Salwach, 19:5, 1988, 402-416,
9.5
Simple Groups (poem), Anonymous, 20:1, 1989, 26
A Complete Solution to the Magic Hexagram Problem, Harold Reiter and David
Ritchie, 20:4, 1989, 307-316, 9.2
Minimum Dimension for a Square Matrix of Order n, Robert Hanson, 21:1, 1990,
28-34, 4.1
A Zero-Row Reduction Algorithm for Obtaining the gcd of Polynomials, Sidney H.
Kung and Yap S. Chua, 21:2, 1990, 138-141, 0.7, 4.1
FFF #21. Groups with Separate Identities, Ed Barbeau, 21:3, 1990, 217, F (also
21:5, 1990, 396)
FFF #22. The Least Common Multiple Order, Ed Barbeau, 21:3, 1990, 217, F (also
21:5, 1990, 396)
Binary Operations, David P. Kraines and Vivian Y. Kraines and David A. Smith,
21:3, 1990, 240-241, C, 9.11
Secrets of the Faro: Student Research Project, Irl C. Bivens, 22:2, 1991,
144-147, 9.3
The Mathematics of Identification Numbers, Joseph A. Gallian, 22:3, 1991,
194-202, 9.3
FFF #43. The Number of Conjugates of a Group Element, Ed Barbeau, 22:3, 1991,
222, F
Coset Products in Rings: Student Research Projects, Dennis Kletzing, 22:4,
1991, 323-326
FFF #48. All Groups are Simple, Ed Barbeau, 22:5, 1991, 404, F
Reward of the Rings: Student Research Projects, Irl C. Bivens, 22:5, 1991,
418-420, 9.3
A Number-Theoretic Approach to Counting Subgroups of Dihedral Groups: Student
Research Project, David W. Jensen and Eric R. Bussian, 23:2, 1992, 150-152
FFF #55. Even and Odd Permutations, Ed Barbeau, 23:3, 1992, 204, F, 4.2 (also
23:4, 1992, 305 and 24:4, 1993, 346)
A Sliding Block Problem: Student Research Project, George T. Gilbert and Loren
C. Larson, 23:4, 1992, 315-319
FFF #80. Factoring Homogeneous Polynomials, John Webb and Graeme West, 25:5, 1994, 433, F
Visualizing the Group Homomorphism Theorem, Robert C. Moore, 26:2, 1995, 143, C
Card Shuffling in Discrete Mathematics, Steve M. Cohen and Paul R. Coe, 26:3, 1995, 224-227, C, 3.3
FFF #90. The Impossibility of Angle Bisection, Eric Chandler, 26:4, 1995, 302, F
Computing in Abstract Algebra, George Mackiw, 27:2, 1996, 136-142
Pythagorean Triples: The Hyperbolic View, Raymond A. Beauregard and E. R. Suryanarayan, 27:3, 1996, 170-181, 9.3
FFF #105. The Remainder Theorem, Richard Laatsch, 27:4, 1996, 282, F, 0.2
The Generalized Spectral Decomposition of a Linear Operator, Garret Sobczyk, 28:1, 1997, 27-38, 4.6
Adventure Games, Permutations, and Spreadsheets, Paul Vodola, 28:4, 1997, 301-309
A Class of Pleasing Periodic Designs, Federico Fernandez, 29:1, 1998, 18-26, 4.3, 9.3
An Application of Elementary Group Theory to Central Solitaire, Arie Bialostocki, 29:3, 1998, 208-212
Prelude to Musical Geometry, Brian J. McCartin, 29:5, 1998, 354-370, 0.3, 9.7
An Attempt to Foster Students' Construction of Knowledge During a Semester Course in Abstract Algebra, Thomas G. Edwards and Lawrence Brenton, 30:2, 1999, 120-128, 1.1
Group Operation Tables and Normalizers, Colonel Johnson Jr., 31:1, 2000, 50-51, C