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TZID:Europe/Budapest
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UID:2n7fjcfen6ginonij94f8bmcj4@google.com
CATEGORIES:{lang hu}Algebra szeminárium{/lang}{lang en}Algebra seminar{/lang}
SUMMARY:Endre Tóth (SZTE): Solution sets of systems of equations over finite algebras
LOCATION:Bolyai Intézet, I. emelet, Riesz terem, Aradi Vértanúk tere 1., Szeged
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. Solution sets of systems of homogeneous linear equations over fie
lds are characterized as being subspaces. But what can we say about the “sh
ape” of the set of all solutions of other systems of equations? We study so
lution sets over arbitrary algebraic structures, and we give a necessary co
ndition for a set of n-tuples to be the set of solutions of a system of equ
ations in n unknowns over a given algebra. If the condition is sufficient a
s well, then we will talk about (the given algebra having) Property (SSCC).
In the case of Boolean equations we obtain a complete characterization, an
d we also characterize lattices and semilattices having Property (SSCC).
DTSTAMP:20200707T070142Z
DTSTART;TZID=Europe/Budapest:20181128T100000
DTEND;TZID=Europe/Budapest:20181128T120000
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