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Bifurcus
semigroups and rings
Donald Adams, Rene Ardila, David Hannasch, Audra Kosh, Hanah McCarthy, Vadim Ponomarenko and Ryan Rosenbaum
Vol. 2 (2009), No. 3, 351–356
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Abstract |
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A bifurcus semigroup or ring is defined as possessing the strong property that every nonzero nonunit nonatom may be factored into two atoms. We develop basic properties of such objects as well as their relationships to well-known semigroups and rings. |
Keywords
semigroup, monoid, factorization, bifurcus, Krull
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Mathematical Subject Classification 2000
Primary: 20M14, 20M99
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Milestones
Received: 4 March 2009
Revised: 10 March 2009
Accepted: 10 March 2009
Published: 3 October 2009
Communicated by Scott Chapman
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Authors |
| Donald Adams | |
| San Diego State University San Diego, CA 92182-7720 United States |
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| Rene Ardila | |
| City College of New York New York, NY 10031 United States |
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| David Hannasch | |
| University of Nevada at Las
Vegas Las Vegas, NV 89154 United States |
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| Audra Kosh | |
| University of California at Santa
Barbara Santa Barbara, CA 93106 United States |
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| Hanah McCarthy | |
| Lawrence University Appleton, WI 54912 United States |
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| Vadim Ponomarenko | |
| San Diego State University Department of Mathematics and Statistics 5500 Campanile Dr. San Diego, CA 92182-7720 United States |
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| http://www-rohan.sdsu.edu/~vadim/ | |
| Ryan Rosenbaum | |
| San Diego State University San Diego, CA 92182-7720 United States |
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