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 FieldÑA 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 and 26:4, 1995, 303-304 ) 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 StudentsÕ 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 A Project for Discovery, Extension, and Generalization in Abstract Algebra, Bo Green, 31:4, 2000, 329-332 FFF #159. Reciprocals in finite rings, Michelle Manes, 31:5, 2000, 393, F A Polynomial with a Root Mod m for Every m, Allen J. Schwenk, 31:5, 2000, 403-405, C, 9.3 On a Theorem of Clay, Hassan Azad and A. Laradji, 31:5, 2000, 405-406, C Another Look at Factoring Polynomials, Scott J. Beslin and Douglas J. Baney, 32:4, 2001, 273-275, 0.2 Elementary Linear Algebra and the Division Algorithm, Airton von Sohsten de Medeiros, 33:1, 2002, 51-52, C, 4.3 A Ramanujan Result Viewed From Matrix Algebra, Raymond A. Beauregard and E. R. Suryanarayan, 33:3, 2002, 212-214, 4.1, 9.3 Extensions of a Logarithmic Equation, Bill Frederick and N. S. K. Hellerstein, 33:4, 2002, 348, C Sets of Sets: A Cognitive Obstacle, Lawrence Brenton, 34:1, 2003, 31-38, 9.1 Another Exercise, Monte Zerger, 34:3, 2003, 204, C More Binary Operations, Nathaniel Hellerstein, 34:5, 2003, 366, C The Band Around a (non)Convex Set, Jack Stewart and Annalisa Crannell, 34:5, 2003, 377-379, 0.2, 0.7 A Rational Root Theorem for Imaginary Roots, Sharon Barrs, James Braselton, and Lorraine Braselton, 34:5, 2003, 380-382, 0.2, 0.7 When Does a Quadratic Extension Field Contain the Square Root of Ð1?, Walden Freedman, 35:1, 2004, 52-54, C To a Z (poem), Jeff Suzuki, 35:2, 2004, 124, C The Arithmetic of Algebraic Numbers: an Elementary Approach, Chi-Kwong Li, 35:4, 2004, 307-309, C The Platonic Solids from their Rotation Groups, Larry Grove, 36:4, 2005, 278-283 A Paper-and-Pencil gcd Algorithm for Gaussian Integers, Sandor Szabo, 36:5, 2005, 374-380, 9.3 Graeco-Latin Squares and a Mistaken Conjecture of Euler, Dominic Klyve and Lee Stemkoski, 37:1, 2006, 2-15, 3.2, 9.2 The Existence of Multiplicative Inverses, Ricardo Alfaro and Steven C. Althoen, 37:3, 2006, 227-228, C Names in Boxes Puzzle, Peter Winkler, 37:4, 2006, 260, 285, 289, C, 3.2 More Mathematics in the Bedroom: A Paradoxical Probability, Paul K. Stockmeyer, 38:5, 2007, 339-344, 7.3 Partial Fractions in Calculus, Number Theory, and Algebra, C. A. Yackel and J. K. Denny, 38:5, 2007, 362-374, 5.2.4, 9.3 Remainder Wheels and Group Theory, Lawrence Brenton, 39:2, 2008, 129-135, 0.1, 9.3 Leftist Numbers, Andrew Rich, 39:5, 2008, 330-336, 9.3 The Probability that Two Semigroup Elements Commute Can Be Almost Anything, Berit Givens, 39:5, 2008, 399-400