Bcs rings

W. V. Vasconcelos; C. A. Weibel

doi:https://doi.org/10.1016/0022-4049(88)90145-4

Bcs rings

W. V. Vasconcelos, C. A. Weibel

SAS - Mathematics

Rutgers, The State University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The notion of bcs ring is formulated and studied. Because bcs rings are pole-assignable, they are interesting in control theory. We prove that the following classes of rings are bcs: 0-dimensional rings, semilocal rings, 1-dimensional domains, 1-dimensional Noetherian rings. We give several examples to sketch the contour of this class of rings.

Original language	English (US)
Pages (from-to)	173-185
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	52
Issue number	1-2
DOIs	https://doi.org/10.1016/0022-4049(88)90145-4
State	Published - May 1988

ASJC Scopus subject areas

Algebra and Number Theory

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https://doi.org/10.1016/0022-4049(88)90145-4

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title = "Bcs rings",

abstract = "The notion of bcs ring is formulated and studied. Because bcs rings are pole-assignable, they are interesting in control theory. We prove that the following classes of rings are bcs: 0-dimensional rings, semilocal rings, 1-dimensional domains, 1-dimensional Noetherian rings. We give several examples to sketch the contour of this class of rings.",

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AU - Weibel, C. A.

PY - 1988/5

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N2 - The notion of bcs ring is formulated and studied. Because bcs rings are pole-assignable, they are interesting in control theory. We prove that the following classes of rings are bcs: 0-dimensional rings, semilocal rings, 1-dimensional domains, 1-dimensional Noetherian rings. We give several examples to sketch the contour of this class of rings.

AB - The notion of bcs ring is formulated and studied. Because bcs rings are pole-assignable, they are interesting in control theory. We prove that the following classes of rings are bcs: 0-dimensional rings, semilocal rings, 1-dimensional domains, 1-dimensional Noetherian rings. We give several examples to sketch the contour of this class of rings.

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U2 - https://doi.org/10.1016/0022-4049(88)90145-4

DO - https://doi.org/10.1016/0022-4049(88)90145-4

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VL - 52

SP - 173

EP - 185

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

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ER -

Bcs rings

Abstract

ASJC Scopus subject areas

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