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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:20240525T114838Z
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
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