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Commutative Algebra Seminar - Byung Gyun Kang

Commutative Algebra Seminar
January 28, 2019
4:00PM - 5:00PM
Cockins Hall 240

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Add to Calendar 2019-01-28 16:00:00 2019-01-28 17:00:00 Commutative Algebra Seminar - Byung Gyun Kang Title: Infinite products of elements of a ring   Speaker: Byung Gyun Kang (Pohang University of Science and Technology, South Korea)   Abstract:  We introduce an infinite product of infinitely many elements in a purely algebraic way in a ring withour appealing to any topology at all.  Using this concept, we also introduce a couple of weak factorial domains such as the very weak ufD and the super weak UFD.  The most important example of a super weak UFD is the ring of entire functions.  Here every nonunit is a product of countably many elements,   We discuss multiplicative properties of these newly defined rings.   Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
Title: Infinite products of elements of a ring
 
Speaker: Byung Gyun Kang (Pohang University of Science and Technology, South Korea)
 

Abstract:  We introduce an infinite product of infinitely many elements in a purely algebraic way in a ring withour appealing to any topology at all.  Using this concept, we also introduce a couple of weak factorial domains such as the very weak ufD and the super weak UFD.  The most important example of a super weak UFD is the ring of entire functions.  Here every nonunit is a product of countably many elements,   We discuss multiplicative properties of these newly defined rings.

 

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