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5.448  Articles
1 of 546 pages  |  10  records  |  more records»
As a consequence of Cohen's structure Theorem for complete local rings that every _nite commutative ring R of characteristic pn contains a unique special primary subring R0 satisfying R/J(R) = R0/pR0: Cohen called R0 the coe_cient subring of R. In this pa... see more

Let R be a ring and G a group. An R-module A is said to be artinian-by-(finite rank), if TorR(A)\mathrm{Tor}_R(A) is artinian and A/TorR(A)A/\mathrm{Tor}_R(A) has finite R-rank. In this paper modules A over a group ring Zp8G{\mathbb{Z}}_{p^{\infty}}G such... see more

We describe the cone of Hilbert functions of artinian graded modules finitely generated in degree 0 over the polynomial ring R = k[x, y] with the non-standard grading deg(x) = 1 and deg(y) = n, where n is any natural number.

DOWNLOAD PDFDalam tulisan ini, diperkenalkan dua klas khusus dari ring  yaitu Ring Noetherian dan Ring  Artinian.  Berawal  dari  adanya  suatu  ring  komutatif  yang  mempunyai  suatu  idea... see more

The module is a generalization of the vector space. The module that will be discussed is a uniserial module, which is a module that only has one composition series. A uniserial ring is a ring whose module over itself is uniserial. The uniserial ring is an... see more

Our question is what ring R which all modules over R are determined, up to isomorphism, by their endomorphism rings? Examples of this ring are division ring and simple Artinian ring. Any semi simple ring does not satisfy this property. We construct a semi... see more

Let R be an associative ring with identity and Spec^{s}(M) denote the set of all second submodules of a right R-module M. In this paper, we present a number of new results for the second classical Zariski topology on Spec^{s}(M) for a right R-module M. We... see more

Let R be an associative ring with identity and Spec^{s}(M) denote the set of all second submodules of a right R-module M. In this paper, we present a number of new results for the second classical Zariski topology on Spec^{s}(M) for a right R-module M. We... see more

1 of 546 pages  |  10  records  |  more records»