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dc.contributor.authorIzhakian, Zur
dc.contributor.authorKnebusch, Manfred
dc.contributor.authorRowen, Louis
dc.date.accessioned2016-10-10T10:21:38Z
dc.date.available2016-10-10T10:21:38Z
dc.date.issued2010
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1233
dc.descriptionOWLF 2009en_US
dc.description.abstractThe objective of this paper is to lay out the algebraic theory of supertropical vector spaces and linear algebra, utilizing the key antisymmetric relation of "ghost surpasses." Special attention is paid to the various notions of "base," which include d-base and s-base, and these are compared to other treatments in the tropical theory. Whereas the number of elements in a d-base may vary according to the d-base, it is shown that when an s-base exists, it is unique up to permutation and multiplication by scalars, and can be identifed with a set of "critical" elements. Linear functionals and the dual space are also studied, leading to supertropical bilinear forms and a supertropical version of the Gram matrix, including its connection to linear dependence, as well as a supertropical version of a theorem of Artin.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2010,14
dc.subjectTropical algebraen_US
dc.subjectsemimodules and supertropical vector spacesen_US
dc.subjectlinear algebraen_US
dc.subjectchange of base semiringsen_US
dc.subjectGram matrixen_US
dc.titleSupertropical linear algebraen_US
dc.typePreprinten_US
dc.identifier.doi10.14760/OWP-2010-14
local.scientificprogramOWLF 2009en_US
local.series.idOWP-2010-14
local.subject.msc11
local.subject.msc15
local.subject.msc16
local.subject.msc20
local.subject.msc51
local.subject.msc14


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