A right R-module M is called a Goldie module if it has finite Goldie dimension and satisfies
the ACC for M-annihilator submodules of M. In this paper, we study the class of prime Goldie …

College of Science, Shiraz University, Shiraz 71454, Iran. Page 1 Honam Mathematical J. 21(1999),
No. 1, pp. 1-12 ON PRIME SUBMODULES A. AZIZI AND H. SHARIF Dept. of Mathematics …

Let $ R $ be a ring. A formula $\varphi ({\mathbf {x}}) $ in the language of left $ R $-modules
is called a positive primitive formula (ppf) if it is of the form $\exists {\mathbf {y}}\left …

In the paper we use the lattice I (L) of all ideals of L. Recall that for any set S of ideals of L,/k
S=~ S and VS={xe L Ix< _ VF for some finite subset F of U s}. it is known that the lattice I (L) is …

Let R be a semiprime, right Goldie ring, with semisimple Artinian right quo-tient ring Q (R). If
M is a right R-module, then the Goldie rank of M, written Grkº M, or Grk M if the context is …

Let A and B be two rings, M be a left B, right A bimodule and be the formal triangular matrix
ring. It is known that the category of right T-modules is equivalent to the category Ω of triples …

Decomposition and Dimension in Module Categories Page 1 PURE AND APPLIED
MATHEMATICS A Program of Monographs, Textbooks, and Lecture Notes Executive …

Endo-permutation modules arise in a number of ways in the representation theory of® nite
groups, in particular in connection with equivalences between blocks and as sources of …

Full article: The ϕ-Krull dimension of some commutative extensions Skip to Main Content
Taylor and Francis Online homepage Taylor and Francis Online homepage Log in | Register …

A previously unrecognized class of a priori indecomposable modules, containing all the
commonly known indecomposable modules over an Artin ring, is studied. Modules in this …