A NON-COMMUTATIVE NULLSTELLENSATZ FOR LEAVITT PATH ALGEBRAS

Prelegent(ci)

MURAD ÖZAYDIN

Afiliacja

University of Oklahoma, Norman, USA

Język referatu

angielski

Termin

1 kwietnia 2026 17:15

Informacje na temat wydarzenia

IMPAN 405 & ZOOM

Tytuł w języku polskim

A NON-COMMUTATIVE NULLSTELLENSATZ FOR LEAVITT PATH ALGEBRAS

Seminarium

North Atlantic Noncommutative Geometry Seminar

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Hilbert's Nullstellensatz states that a quotient of the algebra of regular functions on an affine variety over an algebraically closed field is the algebra of regular functions on a (sub)variety if and only if its radical is trivial. A noncommutative analogue is: "A quotient of a Leavitt path algebra (LPA) is isomorphic to an LPA if and only if its radical is trivial." (Koç and Özaydın). This suggests that an LPA behaves like a noncommutative algebra of functions on a directed graph. (Based on research partially supported by the TÜBİTAK grant 122F414.)

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