Prime ideals in PI-rings

S. A. Amitsur, Lance W. Small

Type: Article

Publication Date: 1980-02-01

Citations: 29

DOI: https://doi.org/10.1016/0021-8693(80)90188-x

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Locations

Journal of Algebra - View

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Works That Cite This (27)

Action	Title	Year	Authors
+ PDF Chat	Krull and global dimensions of semiprime Noetherian PI-rings	1982	Richard Resco Lance W. Small J. T. Stafford
+	The nilpotency of the radical in a finitely generated P.I. ring	1984	Amiram Braun
+ PDF Chat	Polynomial identity rings as rings of functions, II	2012	Nikolaus Vonessen
+	Maximal orders over valuation rings	1992	Patrick J. Morandi
+ PDF Chat	Polynomial identity rings as rings of functions	2006	Zinovy Reichstein Nikolaus Vonessen
+	Jacobson rings with a polynomial identity	1988	Efraim P. Armendariz Hyeng Keun Koo Jae Keol Park
+	Localization in noetherian p.i. rings as a finite criterion	1987	Amiram Braun
+ PDF Chat	On Dubrovin valuation rings in crossed product algebras	1993	Darrell Haile Patrick J. Morandi
+ PDF Chat	Value functions and associated graded rings for semisimple algebras	2009	Jean-Pierre Tignol Adrian R. Wadsworth
+	Associative rings	1987	К. И. Бейдар V. N. Latyshev V. T. Markov A. V. Mikhalëv L. A. Skornyakov A. A. Tuganbaev

Works Cited by This (8)

Action	Title	Year	Authors
+	Rings with polynomial identities	1973	Claudio Procesi
+	Right noetherian rings integral over their centers	1973	W.D. Blair
+ PDF Chat	Affine 𝑃𝐼 rings are catenary	1977	William Schelter
+	Principal ideal theorem for Noetherian P. I. rings	1975	Arun Vinayak Jategaonkar
+	Non-commutative affine P. I. rings are catenary	1978	William Schelter
+	ON THE DIMENSION OF NONCOMMUTATIVE AFFINE ALGEBRAS	1973	V. T. Markov
+ PDF Chat	Prime 𝑃𝐼-rings	1977	S. A. Amitsur Lance W. Small
+	Relative krull dimension and prime ideals in right noetherian rings	1974	Vinayak Jategaonkar Arun