BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Francesca Mantese (University of Verona) DTSTART:20210304T174500Z DTEND:20210304T181500Z DTSTAMP:20260421T121443Z UID:cats2021/18 DESCRIPTION:Title: On the module category of Leavitt path algebras\nby Francesca Mantes e (University of Verona) as part of Additive categories between algebra an d functional analysis\n\n\nAbstract\nLeavitt path algebras were introduced in [1] as algebraic analogues of graph $C^{\\*}$-algebras and as natural generalizations of Leavitt algebras of type $(1\,n)$ built in [2]. Moreove r\, they turn out to be perfect localizations of path algebras [3]. The va rious ring-theoretical properties of these algebras have been actively inv estigated. In contrast\, the investigation of their module category is sti ll at an early stage.\nIn this talk we focus on the structure of the simpl e\, projective and injective modules over certain classes of Leavitt path algebras\, presenting results which are part of a joint project with Gene Abrams and Alberto Tonolo.\n\n\n\n[1] G. Abrams\, G. Aranda Pino\, The Lea vitt path algebra of a graph\, J. Algebra 293 (2005)\, 319 - 334.\n\n[2] W .G. Leavitt\, The module type of a ring\, Trans. Amer. Math. Soc. 103 (196 2)\, 113 - 130.\n\n[3] P.Ara\, M. Brustenga\, Module theory over Leavitt p ath algebras and K -theory\, J. Pure Appl. Algebra 214 (2010) 1131–1151 \n LOCATION:https://researchseminars.org/talk/cats2021/18/ END:VEVENT END:VCALENDAR