|
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, Number 2, Pages 5–16
(Mi basm284)
|
|
|
|
This article is cited in 6 scientific papers (total in 6 papers)
On some operations in the lattice of submodules determined by preradicals
A. I. Kashu Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
Abstract:
In the lattice $\boldsymbol L(_RM)$ of all submodules of a module $_RM$ four operations are defined using the standard preradicals: $\alpha$-product, $\omega$-product, $\alpha$-coproduct and $\omega$-coproduct. Some properties of these operations, as well as some connections with the lattice operations of $\boldsymbol L(_RM)$ are indicated. For characteristic submodules these operations were studied in the work [5].
Keywords and phrases:
preradical, lattice, submodule, product (coproduct) of preradicals.
Received: 20.03.2011
Citation:
A. I. Kashu, “On some operations in the lattice of submodules determined by preradicals”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2011, no. 2, 5–16
Linking options:
https://www.mathnet.ru/eng/basm284 https://www.mathnet.ru/eng/basm/y2011/i2/p5
|
Statistics & downloads: |
Abstract page: | 288 | Full-text PDF : | 61 | References: | 56 | First page: | 1 |
|