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TZID:Europe/Budapest
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UID:36gr01nfdh8bena1lhkisv8mo2@google.com
CATEGORIES:{lang hu}Algebra szeminárium{/lang}{lang en}Algebra seminar{/lang}
SUMMARY:Pham Ngoc Ánh (Rényi Institute): Special irreducible representations of Leavitt path algebras
LOCATION:Bolyai Intézet, I. emelet, Riesz terem, Aradi vértanúk tere 1., Szeged
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:Abstract. Irreducible representations of both Leavitt and Cohn path algebr
as of an arbitrary digraph with coefficients in a commutative field introdu
ced by Chen and Rangaswamy are constructed in several ways using both infin
ite paths on the right and singular vertices as well as direct limits or fa
ctors of cyclic projective ideals of the ordinary quiver algebra, respectiv
ely. A speciality of these irreducible representations becomes immediate wh
en they are viewed as modules over the algebras generated by commuting symm
etric idempotents of paths, providing a unified way to treat them. Furtherm
ore, their defining relations are described, too, whence criteria are easil
y given when they are finitely presented or finite dimensional. Moreover, t
heir endomorphism rings, annihilator primitive ideals are also computed dir
ectly.
DTSTAMP:20201020T022745Z
DTSTART;TZID=Europe/Budapest:20190605T110000
DTEND;TZID=Europe/Budapest:20190605T120000
SEQUENCE:0
TRANSP:OPAQUE
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