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Shapiro, Jay

R-sequences in fully bounded Noetherian rings. (English) Zbl 0398.16001

Commun. Algebra 7, 819-831 (1979).
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Cited in 3 Documents

MSC:

16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
16P40 Noetherian rings and modules (associative rings and algebras)
16Dxx Modules, bimodules and ideals in associative algebras
16S90 Torsion theories; radicals on module categories (associative algebraic aspects)

Keywords:

Cohen-Macaulay Ring; Classical Set of Prime Ideals; Torsion Theory; Ore Condition; Artin-Rees Property; R-Sequence; Fully Bounded Noetherian Rings
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References:

[1] Cauchon G., Comm. in Algebra 4 (1) pp 11– (1976) · Zbl 0319.16014 · doi:10.1080/00927877608822093
[2] Gordon R., J. of Algebra 35 (1) pp 304– (1975) · Zbl 0307.16003 · doi:10.1016/0021-8693(75)90052-6
[3] Gordon R., Memoirs Amer. Math. Soc 133 (1) (1973)
[4] Jategaonkar A., J. of Algebra 30 (1) pp 103– (1974) · Zbl 0284.16010 · doi:10.1016/0021-8693(74)90195-1
[5] Jategaonkar A., Trans. Amer. Math. Soc 190 (1) pp 109– (1974) · doi:10.1090/S0002-9947-1974-0349727-X
[6] Kaplansky I., Commutative Rings (1970)
[7] Kaplansky I., Fields and Rings (1969) · Zbl 0184.24201
[8] Muë;ller B., Canad. J. of Math 28 pp 600– (1976) · Zbl 0344.16004 · doi:10.4153/CJM-1976-059-x
[9] Muëller B., Pac. J. of Math 67 pp 233– (1976) · doi:10.2140/pjm.1976.67.233
[10] Procesi C., Rings with Polynomial Identities (1973) · Zbl 0262.16018
[11] Schelter W., J. of Algebra 40 pp 245– (1976) · Zbl 0341.16009 · doi:10.1016/0021-8693(76)90095-8
[12] Stenstroëm B., Rings of Quotients (1975) · doi:10.1007/978-3-642-66066-5
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