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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Grade schemes and grade functions


Author: Stephen McAdam
Journal: Trans. Amer. Math. Soc. 288 (1985), 563-590
MSC: Primary 13C15; Secondary 13A15, 13B99
DOI: https://doi.org/10.1090/S0002-9947-1985-0776393-9
MathSciNet review: 776393
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Abstract: In recent years, two concepts similar to $ R$-sequences have appeared, essential sequences and asymptotic sequences. This work explores the general nature of such sequences.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1985-0776393-9
Keywords: Asymptotic grade, asymptotic prime divisor, classical grade, essential grade, essential prime divisor, grade, grade function, grade scheme, modulated, Noetherian ring, prime divisor, $ R$-sequence
Article copyright: © Copyright 1985 American Mathematical Society