BEGIN:VCALENDAR VERSION:2.0 CALSCALE:GREGORIAN PRODID:iCalendar-Ruby BEGIN:VEVENT CATEGORIES:Lectures & Presentations DESCRIPTION:AMS Graduate Chapter Seminar\, Jan. 24\n\nThe AMS Graduate Chap ter at Ohio University has scheduled an in-person seminar for Wednesday\, J an. 24\, 2024\, from 4:10 to 5:05 p.m. in Morton Hall 219. We are delighted to announce that our guest speaker for the talk will be Dr. Fatma Ebrahim\ , an assistant professor at the Faculty of Science\, AL-Azhar University\, Egypt. Dr. Ebrahim is also a visiting scholar hosted by the Ohio University Center of Ring Theory and its Applications.\n\n \n\nTitle: On Schröder-Ber nstein property for Modules\n\n \n\nAbstract: The well-known Schröder -Bern stein Theorem states that any two sets with one-to-one maps into each other are isomorphic. The question of whether any two (subisomorphic or) direct summand subisomorphic algebraic structures are isomorphic\, has long been o f interest. Kaplansky asked whether direct summands subisomorphic abelian g roups are always isomorphic. The question generated a great deal of interes t. The study of this question for the general class of modules has been som ewhat limited. In This talk\, we extend the study of this question for modu les. We say that a module $M$ {\it satisfies the Schröder-Bernstein propert y (S-B property)} if any two direct summands of $M$ which are subisomorphic to direct summands of each other\, are isomorphic. We show that a large nu mber of classes of modules satisfy the S-B property. These include the clas ses of quasi-continuous\, directly finite\, quasi-discrete\, and modules wi th ACC on direct summands. DTEND:20240124T220500Z DTSTAMP:20241113T045450Z DTSTART:20240124T211000Z GEO:39.324149;-82.097337 LOCATION:Morton Hall\, 219 SEQUENCE:0 SUMMARY:AMS Graduate Chapter Seminar\, Jan. 24 UID:tag:localist.com\,2008:EventInstance_45442233277246 URL:https://calendar.ohio.edu/event/ams_graduate_chapter_seminar END:VEVENT END:VCALENDAR