Analytic ramifications and flat couples of local rings

Tomas Larfeldt; Christer Lech

doi:10.1007/bf02392463

Analytic ramifications and flat couples of local rings

Acta Mathematica ◽

10.1007/bf02392463 ◽

1981 ◽

Vol 146 (0) ◽

pp. 201-208 ◽

Cited By ~ 3

Author(s):

Tomas Larfeldt ◽

Christer Lech

Keyword(s):

Local Rings

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Correction to: Classification of non-local rings with genus two zero-divisor graphs

Soft Computing ◽

10.1007/s00500-020-05533-z ◽

2021 ◽

Vol 25 (4) ◽

pp. 3355-3356

Author(s):

T. Asir ◽

K. Mano ◽

T. Tamizh Chelvam

Keyword(s):

Zero Divisor ◽

Local Rings ◽

Non Local ◽

Genus Two

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Characterizations of regular local rings via syzygy modules of the residue field

Journal of Commutative Algebra ◽

10.1216/jca-2018-10-3-327 ◽

2018 ◽

Vol 10 (3) ◽

pp. 327-337

Author(s):

Dipankar Ghosh ◽

Anjan Gupta ◽

Tony J. Puthenpurakal

Keyword(s):

Residue Field ◽

Local Rings ◽

Syzygy Modules ◽

Regular Local Rings

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Integrally Closed Ideals and Type Sequences in One-Dimensional Local Rings

Rocky Mountain Journal of Mathematics ◽

10.1216/rmjm/1181071860 ◽

1997 ◽

Vol 27 (4) ◽

pp. 1065-1073 ◽

Cited By ~ 5

Author(s):

Marco D'Anna ◽

Donatella Delfino

Keyword(s):

Local Rings ◽

One Dimensional ◽

Integrally Closed ◽

Integrally Closed Ideals

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The isomorphisms of orthogonal groups over local rings

Acta Mathematica Sinica English Series ◽

10.1007/bf02564929 ◽

1986 ◽

Vol 2 (4) ◽

pp. 281-291

Author(s):

Tang Xiangpu ◽

An Jianbei

Keyword(s):

Local Rings ◽

Orthogonal Groups

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LOCAL RINGS OF BOUNDED MODULE TYPE ARE ALMOST MAXIMAL VALUATION RINGS

Communications in Algebra ◽

10.1081/agb-200064072 ◽

2005 ◽

Vol 33 (8) ◽

pp. 2851-2855 ◽

Cited By ~ 3

Author(s):

François Couchot

Keyword(s):

Local Rings ◽

Valuation Rings ◽

Module Type

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Maximal orders over regular local rings of dimension two

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1969-0245572-2 ◽

1969 ◽

Vol 142 ◽

pp. 457-457 ◽

Cited By ~ 31

Author(s):

Mark Ramras

Keyword(s):

Local Rings ◽

Maximal Orders ◽

Regular Local Rings

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Rank 1 preserving maps on linear transformations over noncommutative local rings

Journal of Algebra ◽

10.1016/0021-8693(88)90160-3 ◽

1988 ◽

Vol 113 (2) ◽

pp. 263-293 ◽

Cited By ~ 9

Author(s):

W.J Wong

Keyword(s):

Local Rings ◽

Linear Transformations

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Some results concerning the local analytic branches of an algebraic variety

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004100028541 ◽

1953 ◽

Vol 49 (3) ◽

pp. 386-396 ◽

Cited By ~ 1

Author(s):

D. G. Northcott

Keyword(s):

Algebraic Geometry ◽

Power Series ◽

Algebraic Variety ◽

Recent Progress ◽

Rapid Development ◽

Noetherian Rings ◽

Local Rings ◽

Power Series Rings ◽

Analytic Algebra ◽

Topological Theories

The recent progress of modern algebra in analysing, from the algebraic standpoint, the foundations of algebraic geometry, has been marked by the rapid development of what may be called ‘analytic algebra’. By this we mean the topological theories of Noetherian rings that arise when one uses ideals to define neighbourhoods; this includes, for instance, the theory of power-series rings and of local rings. In the present paper some applications are made of this kind of algebra to some problems connected with the notion of a branch of a variety at a point.

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