Asymptotic behavior of socle under Frobenius iterations

Let (R,m) be a standard-graded local algebra over a field of positive characteristic p. Suppose I is a m-primary ideal of R. We study how the top socle degree and the socle length of R/J behave asymptotically, where J is a (varying) Frobenius power of I. We will also discuss their relations with Hilbert-Kunz multiplicity/function and asymptotic behaviors (with respect to Frobenius iteration) of some other homological invariants.

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UK Honors South African Leaders with Degrees

Title: UK Honors South African Leaders with Degrees
Contact: Cheyenne Hohman
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by Erin Holaday Ziegler

The University of Kentucky will award two legendary South African anti-apartheid activists with honorary degrees on campus this week.

World-renowned leaders Ahmed Kathrada and Barbara Hogan, both of whom served in post-apartheid South Africa as senior officials in President Nelson Mandela's administration, have changed the lives of their country and the world through their tireless work for freedom and democracy.

Online Spanish Class for Health Professionals Fills Need

The University of Kentucky's Department of Hispanic Studies is expanding its online course selection this summer to encompass an expanding foreign language need in the community, the Commonwealth and across the globe. Spanish for Health Professionals is the name of this wholly-online summer course, and fundamental health language, Hispanic culture and lifestyle are the topics at hand.

 

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