| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 944 0 |
 SM ISO690:2012KIRICHENKO, Vladimir, PLAHOTNYK, Makar. Serial rings and their generalizations. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2011, nr. 1(65), pp. 3-27. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
||||||
| Numărul 1(65) / 2011 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
| Pag. 3-27 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
We give a survey of results on the theory of semiprime semidistributive rings, in particular, serial rings. Besides this we prove that a serial ring is Artinian if and only if some power of its Jacobson radical is zero. Also we prove that a serial ring is Noetherian if and only if the intersection of all powers of Jacobson radical is zero. These two theorems hold for semiperfect semidistributive rings. |
||||||
| Cuvinte-cheie Serial ring, SPSD-ring, quiver of ring |
||||||
|
Google Scholar Export
<meta name="citation_title" content="Serial rings and their generalizations"> <meta name="citation_author" content="Kirichenko Vladimir"> <meta name="citation_author" content="Plahotnyk Makar"> <meta name="citation_publication_date" content="2011/04/01"> <meta name="citation_journal_title" content="Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica"> <meta name="citation_volume" content="65"> <meta name="citation_issue" content="1"> <meta name="citation_firstpage" content="3"> <meta name="citation_lastpage" content="27"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/Serial%20rings%20and%20their%20generalizations%203_27.pdf">
|
|
|
