Open Access
2009 Bifurcus semigroups and rings
Donald Adams, Rene Ardila, David Hannasch, Audra Kosh, Hanah McCarthy, Vadim Ponomarenko, Ryan Rosenbaum
Involve 2(3): 351-356 (2009). DOI: 10.2140/involve.2009.2.351

Abstract

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.

Citation

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Donald Adams. Rene Ardila. David Hannasch. Audra Kosh. Hanah McCarthy. Vadim Ponomarenko. Ryan Rosenbaum. "Bifurcus semigroups and rings." Involve 2 (3) 351 - 356, 2009. https://doi.org/10.2140/involve.2009.2.351

Information

Received: 4 March 2009; Revised: 10 March 2009; Accepted: 10 March 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1190.20046
MathSciNet: MR2551131
Digital Object Identifier: 10.2140/involve.2009.2.351

Subjects:
Primary: 20M14 , 20M99

Keywords: bifurcus , factorization , Krull , monoid , semigroup

Rights: Copyright © 2009 Mathematical Sciences Publishers

Vol.2 • No. 3 • 2009
MSP
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