Chapter

Commutative Algebra

pp 195-211

Date:

The Development of Non-Noetherian Grade and Its Applications

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Abstract

Hochster and Barger were the first to introduce notions of grade for non-Noetherian rings. Their work laid the foundation for Alfonsi’s work which unified and generalized these earlier definitions. The various notions of grade have played an important role in the development of the theory of coherent rings. This paper looks at the historical development of non-Noetherian grade, as well as its applications.

Keywords

Non-Noetherian ring Coherent ring Grade Depth Polynomial grade

Mathematics Subject Classification (2010):

13-02 13C15 13D05