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93.324  Articles
1 of 9.333 pages  |  10  records  |  more records»
We strengthen some results of W. L. May (J. Algebra, 1976) by findinga criterion when a special decomposition of normed units in abelian group ringsholds.DOI : http://dx.doi.org/10.22342/jims.18.1.106.21-29

In the paper we study structure of soluble-by-finite groups of finite torsion-free rank which admit faithful modules with conditions of primitivity. In particular, we prove that under some additional conditions if an infinite finitely generated linear gro... see more

Rough Set Theory (RST) is an essential mathematical tool to deal with imprecise, inconsistent, incomplete information and knowledge Rough Some algebra structures, such as groups, rings, and modules, have been presented on rough set theory. The sub-exact s... see more

Medieval ring brooches from Denmark – Typology, dating and use Ring brooches are one of the most common types of jewellery from the Middle Ages. They consist of a closed frame with a fixed pin (fig. 1). The metal detector activity of recent years has incr... see more

Every code in the latest study of group ring codes is a submodule thathas a generator. Study reveals that each of these binary group ring codes can havemultiple generators that have diverse algebraic properties. However, idempotentgenerators get the most ... see more

Medieval ring brooches from Denmark – Typology, dating and use Ring brooches are one of the most common types of jewellery from the Middle Ages. They consist of a closed frame with a fixed pin (fig. 1). The metal detector activity of recent years has incr... see more

For group codes over elementary Abelian groups we present definitions of the generator and the parity check matrices, which are matrices over the ring of endomorphism of the group. We also lift the theorem that relates the parity check and the generator m... 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

There are several commutativity theorems in groups and rings which involve power maps f(x) = xn. The most famous example  of this kind is Jacobson's theorem which asserts that any ring satisfying the identity xn = x is commutative.  Such stateme... see more

1 of 9.333 pages  |  10  records  |  more records»