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Abstract
A large class of multiplicative submonoids of the natural numbers is presented, which includes congruence monoids as well as numerical monoids (by isomorphism). For monoids in this class, the important factorization property of finite elasticity is characterized.
Additional information
Notes on contributors
Matthew Jenssen
MATTHEW O. JENSSEN completed his B.A. in mathematics at the University of Cambridge in 2012 and is currently studying for an M.Math via Part III of the Cambridge Mathematical Tripos. His mathematical interests include algebra, combinatorics, number theory, and researching the work of fellow countrymen Niels Henrik Abel, Sophus Lie, and Atle Selberg. He enjoys 20th century American literature and music, writing poetry, and collecting 78 rpm records for his gramophone.
Daniel Montealegre
DANIEL MONTEALEGRE was born and raised in Colombia. At the age of seventeen he moved to the United States. He is now a student at the University of California, Los Angeles, currently working on a joint B.S/M.A. degree in mathematics. He plans to attend graduate school in the fall of 2013 and hopes to work in either algebra or discrete mathematics.
Vadim Ponomarenko
VADIM PONOMARENKO received his B.A. from the University of Michigan in 1992, and his Ph.D. from the University of Wisconsin-Madison in 1999. He currently teaches at San Diego State University and directs an REU program there. He enjoys collaborating with students, and invites anyone eligible and interested to direct their browser to http://www.sci.sdsu.edu/math-reu/index.html.