Rings with finite reduced rank
JA Beachy - Communications in Algebra, 1982 - Taylor & Francis
, Coldie defined the reduced rank p (M) of af initely generated module M over a edprime
Coldie ring R to be the uniform dimension of M/y (If), where y is the Goldie torsion radial …
Coldie ring R to be the uniform dimension of M/y (If), where y is the Goldie torsion radial …
Modules semicocritical with respect to a torsion theory and their applications
ML Teply - Israel Journal of Mathematics, 1986 - Springer
The concepts of primitive ideal and semicocritical module with respect to a torsion theory are
studied and related to the structure of torsionfree injective modules. Applications are made …
studied and related to the structure of torsionfree injective modules. Applications are made …
Modules△,-injectifs sur les anneaux à dimension de krull
CN [acaron] st [acaron] sescu - Communications in Algebra, 1981 - Taylor & Francis
Dana ce travail on met en dvidence la liaison entre la notion de module A-in jectif et celle dl"
orderu dana un anneau artinien. La notion de module 4-in jectif a Btd introduite per Faith …
orderu dana un anneau artinien. La notion de module 4-in jectif a Btd introduite per Faith …
Dual relative Krull dimension of modules over commutative rings
T Albu, PF Smith - Abelian Groups and Modules: Proceedings of the …, 1995 - Springer
DUAL RELATIVE KRULL DIMENSION OF MODULES OVER COMMUTATIVE RINGS and The
concept of Krull dimension k(E) of an arbitrary poset (E Page 1 DUAL RELATIVE KRULL …
concept of Krull dimension k(E) of an arbitrary poset (E Page 1 DUAL RELATIVE KRULL …
Bijective relative Gabriel correspondence over rings with torsion theoretic Krull dimension
T Albu, G Krause, ML Teply - Journal of Algebra, 2001 - Elsevier
A series of results by Asensio and Torrecillas (1992, Comm. Algebra20, 847–866), Gordon
and Robson (1973,“Krull Dimension,” Memoirs of the American Mathematical Society, Vol …
and Robson (1973,“Krull Dimension,” Memoirs of the American Mathematical Society, Vol …
Localization at collections of minimal primes
AK Boyle, KA Kosler - Journal of Algebra, 1988 - Elsevier
This paper examines localization for a collection L of minimal prime ideals of a right
noetherian ring. It is shown that minimal prime ideals satisfy the second layer condition …
noetherian ring. It is shown that minimal prime ideals satisfy the second layer condition …
When does length equal dimension?
WG Lau - Communications in Algebra, 1986 - Taylor & Francis
Let R be an associative ring with identity and denote by mod-R the category of all unital right
R-modules. If M is a semisimple artinian object of mod-R, then M has a composition series …
R-modules. If M is a semisimple artinian object of mod-R, then M has a composition series …
Δ-Modules and semicocritical modules
B Torrecillas - Communications in Algebra, 1986 - Taylor & Francis
Let R be an associative ring and let us denote by R-mod the category of all unital left
modules. Let (T, F) be an hereditary torsion theory of modules with torsion class T and …
modules. Let (T, F) be an hereditary torsion theory of modules with torsion class T and …
The local Gabriel correspondence
MJ Asensio, B Torrecillas - Communications in algebra, 1992 - Taylor & Francis
It is a well-known fact that for commutative noetherian rings there exists a bijective
correspondence between the prime ideals of the ring and the isomorphism classes of …
correspondence between the prime ideals of the ring and the isomorphism classes of …