The Development of Non-Noetherian Grade and Its Applications

Livia Hummel ()
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Livia Hummel: University of Indianapolis

A chapter in Commutative Algebra, 2014, pp 195-211 from Springer

Abstract: 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; 13-02; 13C15; 13D05 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0925-4_11

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DOI: 10.1007/978-1-4939-0925-4_11

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