College of Natural & Social Sciences
Department of Mathematics
Office
STF202
Phone
(323) 343-2150
Email
gbrookf@calstatela.edu
Publications
- Translation: Analysis I, by H. Amann and J. Escher, Birkhäuser, 2004
| Monoids and Categories of Noetherian Modules - PhD Dissertation - 1997 |
| Direct Sum Cancellation of Noetherian Modules - J. Algebra 200, 207-224, (1998) |
| The Grothendieck Group and the Extensional Structure of Noetherian Module Categories - Proceedings of the International Conference of Algebra and its Applications, March 1999, 111-131, (2000) |
| Cancellation in Primely Generated Refinement Monoids - Algebra Universalis, 46 No. 3, 343-371, (2001) |
| Extensional Structure of Commutative Noetherian Rings - Comm. Algebra 31(6), 2543-2571 (2003) |
| The Length of Noetherian Modules - Comm. Algebra 30(7), 3177-3204 (2002) |
| A Krull-Schmidt Theorem for Noetherian Modules - J. Algebra, 251, 70-79 (2002) |
| The Length of Noetherian Polynomial Rings - Comm. Algebra 31(11), 5591-5607, (2003) |
| Commutative Noetherian Semigroups are Finitely Generated - Semigroup Forum, 66, 323-327 (2003) |
| Noetherian Generalized Power Series Rings - Comm. Algebra 32(3), 919-926 (2004) |
| A Triangle Problem - Math Horizons - September 2003 |
| When Graded Domains are Schreier or pre-Schreier with David E. Rush - J. Pure and Appl. Algebra, 195, 225-230 (2005) |
| Convex Polytopes and Factorization Properties in Generalized Power Series Domains with David E. Rush - Rocky Mountain Journal of Mathematics, 38, (6), 1909-1919 (2008) |
| Factoring Quartic Polynomials: A Lost Art - Mathematics Magazine, 80(1), 67-70, (2007) |
| Yet Another Elementary Solution of the Brachistochrone Problem - Mathematics Magazine, 83(1), 59-63, (2010) |
| Mini-Sudokus and Groups with Carlos Arcos and Michael Krebs - Mathematics Magazine, 83(2), 111-122, (2010) |
| Factoring Forms - MAA Monthly, 123(4), 347-362, (April 2016) |
| The Coefficients of Cyclotomic Polynomials - Mathematics Magazine, 89(3), 179-188, (2016) |
| Problem 12105: Roots of a Cubic Polynomial - Problems and Solutions, MAA Monthly, 126(4), 370, (April 2019) |
| Completely Reducible Ternary Cubic Forms - arXiv:2107.02325 (July 2021) |
| The Waring Rank of Ternary Cubic Forms - arXiv:2202.08932 (February 2022) |