[引用][C] The Euler characteristic of a finitely generated module of finite injective dimension
RY Sharp - Mathematische Zeitschrift, 1973 - Springer
All the rings considered in this paper will be commutative and have multiplicative identities.
Such a ring is called trivial if it consists of just one (zero) element: it is to be understood that …
Such a ring is called trivial if it consists of just one (zero) element: it is to be understood that …
[引用][C] The construction of a module of finite projective dimension from a finitely generated module of finite injective dimension
RY Sharp - Commentarii Mathematici Helvetici, 1975 - Springer
In this article, the word" ring" will mean" commutative, Noetherian ring with non-zero
multiplicative identity", and it is to be understood that ring homomorphisms respect identity …
multiplicative identity", and it is to be understood that ring homomorphisms respect identity …
Euler characteristics over unramified regular local rings
M Hochster - Illinois Journal of Mathematics, 1984 - projecteuclid.org
Let M, N be finitely generated modules over a local ring (R, rn)(all rings are assumed
commutative, with identity;(R, m) is" local" means that R is Noetherian with maximal ideal m) …
commutative, with identity;(R, m) is" local" means that R is Noetherian with maximal ideal m) …
Ideals generated by three elements
P Kohn - Proceedings of the American Mathematical Society, 1972 - ams.org
IDEALS GENERATED BY THREE ELEMENTS idealI,d(R\l)=h. Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 35, No. 1, September 1972 IDEALS …
AMERICAN MATHEMATICAL SOCIETY Volume 35, No. 1, September 1972 IDEALS …
[引用][C] Module extensions over Noetherian rings
KA Brown - Journal of Algebra, 1981 - Elsevier
The fimdam al result of AV Jategaonkar's im ortant paper is th, e following: If is a finitely
generated Noetherian ring, and) r is an essential submoduie of ml! dimens~ Q~ 4.2, then M …
generated Noetherian ring, and) r is an essential submoduie of ml! dimens~ Q~ 4.2, then M …
[引用][C] Modules over bounded hereditary noetherian prime rings II
S Talwar - Archiv der Mathematik, 1980 - Springer
This paper is in continuation to the paper [9], relating to modules over bounded (hnp)-rings.
The main purpose of this paper is to generalize some of the main results of the theory of …
The main purpose of this paper is to generalize some of the main results of the theory of …
Regular modules
J Zelmanowitz - Transactions of the American Mathematical Society, 1972 - ams.org
In analogy to the elementwise definition of von Neumann regular rings an $ R $-module $ M
$ is called regular if given any element $ m\in M $ there exists $ f\in {\operatorname {Hom} …
$ is called regular if given any element $ m\in M $ there exists $ f\in {\operatorname {Hom} …
Cohomological properties of modules with secondary represetations
L Melkersson - Mathematica Scandinavica, 1995 - JSTOR
The notion of secondary representation is in some sense dual to that of primary
decomposition. A module M over the ring A (always assumed to be a com mutative …
decomposition. A module M over the ring A (always assumed to be a com mutative …
Homological dimensions of finitely presented modules
DG McRae - Mathematica Scandinavica, 1971 - JSTOR
Relationships between homological dimensions of Noetherian rings and duality conditions
on finitely generated modules have been studied in [1],[4], In this paper we consider …
on finitely generated modules have been studied in [1],[4], In this paper we consider …
Modules whose cyclic submodules have finite dimension
D Berry - Canadian Mathematical Bulletin, 1976 - cambridge.org
R denotes an associative ring with identity. Module means unitary right R-module. A module
has finite Goldie dimension over R if it does not contain an infinite direct sum of nonzero …
has finite Goldie dimension over R if it does not contain an infinite direct sum of nonzero …