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On multisemigroups
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2015 (English)In: Portugaliae Mathematica, ISSN 0032-5155, E-ISSN 1662-2758, Vol. 72, no 1, 47-80 p.Article in journal (Refereed) Published
Abstract [en]

Motivated by recent appearance of multivalued structures in categorification, tropical geometry and other areas, we study basic properties of abstract multisemigroups. We give many new and old examples and general constructions for multisemigroups. Special attention is paid to simple and nilpotent multisemigroups. We also show that "almost all'' randomly chosen multivalued binary operations define multisemigroups.

Place, publisher, year, edition, pages
2015. Vol. 72, no 1, 47-80 p.
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URN: urn:nbn:se:uu:diva-252056DOI: 10.4171/PM/1956ISI: 000351997900002OAI: oai:DiVA.org:uu-252056DiVA: diva2:808702
Available from: 2015-04-29 Created: 2015-04-28 Last updated: 2016-02-17Bibliographically approved

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Mazorchuk, Volodymyr
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Algebra and Geometry
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