Some new results on numbers of generators of ideals in local rings

Hideyuki Matsumura

Displaying similar documents to “Some new results on numbers of generators of ideals in local rings”

Generating ideals in local rings using elements of high degrees.

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The Primary components of and Integral Closures of Ideals in 3-Dimensional Regular Local Rings.

Craig Huneke (1986)

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Normal rings and local ideals.

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Chain conditions on composite Hurwitz series rings

Jung Wook Lim, Dong Yeol Oh (2017)

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In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or satisfy the ascending chain condition on principal ideals.

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Ravinder Kumar, Kanchan Manaktala (1975)

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Associated Graded Rings Derived from Integrally Closed Ideals and the Local Homological Conjectures

Melvin Hochster (1980)

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On rings with a unique proper essential right ideal

O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2004)

Fundamenta Mathematicae

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Right ue-rings (rings with the property of the title, i.e., with the maximality of the right socle) are investigated. It is shown that a semiprime ring R is a right ue-ring if and only if R is a regular V-ring with the socle being a maximal right ideal, and if and only if the intrinsic topology of R is non-discrete Hausdorff and dense proper right ideals are semisimple. It is proved that if R is a right self-injective right ue-ring (local right ue-ring), then R is never semiprime and...