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TZID:Europe/Budapest
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UID:4ack10m8oib8i2rsus36dhnsug@google.com
CATEGORIES:{lang hu}Algebra szeminárium{/lang}{lang en}Algebra seminar{/lang}
SUMMARY:Endre Tóth (SZTE): Burle's theorem: the clones containing every unary operation
LOCATION:Bolyai Intézet, I. emelet, Riesz terem, Aradi Vértanúk tere 1., Szeged
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. In 1959 Ju. I. Janov and A. A. Mucnik showed that on a finite set
with at least 3 elements there are continuum many clones. Therefore, descr
ibing all clones at once proves to be a difficult problem, and thus mathema
ticians usually investigate only certain classes of clones. One such class
is the class of clones that contain every unary operation; this class was d
escribed by G. A. Burle in 1967. Interestingly, these clones form a chain,
and this chain is of finite height. This implies that for any finite set A,
the clone lattice on A is of finite height. Endre Toth will present the pr
oof of Burle's theorem as part of the clone theory PhD course (MDPT3105).
DTSTAMP:20230129T075619Z
DTSTART;TZID=Europe/Budapest:20190410T100000
DTEND;TZID=Europe/Budapest:20190410T120000
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