Commutative coherent rings and modules

Bahzad Hassan

Friday 11th December, 2009 16:00-17:00 Mathematics Building, room 325

Abstract

Coherent rings and modules first appear in the literature in 1960, in a paper by Chase, still without being mentioned by name. It is only in 1964 that coherent rings appear as such named, in Bourbaki. From 1966 on, coherence in commutative rings became a vigorously active area of research. The body of research accumulated, beyond having an interest of its own, had significant impact on other areas of algebra. Commutative coherent rings form a standard class of rings which include commutative Noetherian rings. I will discuss some of the basic characteristics of these types of rings by introducing some of the very basic facts that would be helpful to understand it. I will assume some very basic concept of rings and modules.

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