October 5, 2015
4:30PM - 5:30PM
CH 232
Add to Calendar
2015-10-05 16:30:00
2015-10-05 17:30:00
Commutative Algebra Seminar - Tom Lucas
Title: Additively Regular Rings and Marot RingsSpeaker: Tom Lucas - University of North Carolina, CharlotteAbstract: For a commutative ring R with nonzero identity, elements and ideals are said to be regular if they are not contained in the set of zero divisors (which includes 0). R is a Marot ring if each regular ideal can be generated by regular elements and it is additively regular if for each pair of elements a and b in R with b regular, there is an element c in R such that a+bc is regular. After 35 years of trying to avoid invoking these restrictions, this talk is about some recent work which shows that sometimes they are necessary/useful.
CH 232
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2015-10-05 16:30:00
2015-10-05 17:30:00
Commutative Algebra Seminar - Tom Lucas
Title: Additively Regular Rings and Marot RingsSpeaker: Tom Lucas - University of North Carolina, CharlotteAbstract: For a commutative ring R with nonzero identity, elements and ideals are said to be regular if they are not contained in the set of zero divisors (which includes 0). R is a Marot ring if each regular ideal can be generated by regular elements and it is additively regular if for each pair of elements a and b in R with b regular, there is an element c in R such that a+bc is regular. After 35 years of trying to avoid invoking these restrictions, this talk is about some recent work which shows that sometimes they are necessary/useful.
CH 232
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Additively Regular Rings and Marot Rings
Speaker: Tom Lucas - University of North Carolina, Charlotte
Abstract: For a commutative ring R with nonzero identity, elements and ideals are said to be regular if they are not contained in the set of zero divisors (which includes 0). R is a Marot ring if each regular ideal can be generated by regular elements and it is additively regular if for each pair of elements a and b in R with b regular, there is an element c in R such that a+bc is regular. After 35 years of trying to avoid invoking these restrictions, this talk is about some recent work which shows that sometimes they are necessary/useful.
