Some remarks on affine rings

Susan Montgomery, Lance W. Small

Type: Article

Publication Date: 1986-01-01

Citations: 14

DOI: https://doi.org/10.1090/s0002-9939-1986-0861745-5

Abstract

Various topics on affine rings are considered, such as the relationship between Gelfand-Kirillov dimension and Krull dimension, and when a "locally affine" algebra is affine. The dimension result is applied to study prime ideals in fixed rings of finite groups, and in identity components of group-graded rings.

Locations

Proceedings of the American Mathematical Society - View - PDF

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+	Morita equivalence of finitely presented algebras	2020	Adel Alahmadi Hamed Alsulami
+ PDF Chat	On finitely presented algebras	2015	Adel Alahmadi Hamed Alsulami
+	Finite presentation	2021	D. S. Passman Lance W. Small
+ PDF Chat	Azumaya algebras without involution	2018	Asher Auel Uriya A. First Ben Williams
+ PDF Chat	Nil subsets of graded algebras	1998	Susan Montgomery Lance W. Small
+	Group Actions on Module-finite Rings	1988	S. Jøndrup
+	Finite generation of Lie algebras associated with associative algebras	2015	Adel Alahmadi Hamed Alsulami S. K. Jain Efim Zelmanov
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Action	Title	Year	Authors
+	Trace functions and affine fixed rings for groups acting on non-commutative rings	1982	Susan Montgomery
+	Integrality and prime ideals in fixed rings of P.I. rings	1984	Susan Montgomery Lance W. Small
+	Addendum—Prime ideals in crossed products of finite groups	1980	Martin Lorenz D. S. Passman
+	Fixed Rings of Noetherian Rings	1981	Susan Montgomery Lance W. Small
+	Prime ideals in crossed products of finite groups	1979	Martin Lorenz D. S. Passman
+	Fixed rings and integrality	1981	D. S. Passman
+	Prime ideals in fixed rings	1981	Susan Montgomery
+ PDF Chat	Group-graded rings, smash products, and group actions	1984	Miriam Cohen Susan Montgomery
+	Sur l’Extension RG → R	1983	J. Alev
+	Group Actions on Rings: Some Classical Problems	1984	Susan Montgomery