Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
586 11 |
Ultima descărcare din IBN: 2023-10-02 10:28 |
Căutarea după subiecte similare conform CZU |
512.541+512.55 (1) |
Алгебра (410) |
SM ISO690:2012 DANCHEV, Peter. n-Torsion Regular Rings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2019, nr. 1(89), pp. 20-29. ISSN 1024-7696. |
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(89) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
CZU: 512.541+512.55 | ||||||
MSC 2010: 16D60,16S34, 16U60. | ||||||
Pag. 20-29 | ||||||
|
||||||
Descarcă PDF | ||||||
Rezumat | ||||||
As proper subclasses of the classes of unit-regular and strongly regular rings, respectively, the two new classes of n-torsion regular rings and strongly ntorsion regular rings are introduced and investigated for any natural number n. Their complete isomorphism classi¯cation is given as well. More concretely, although it has been recently shown by Nielsen-·Ster (TAMS, 2018) that unit-regular rings need not be strongly clean, the rather curious fact that, for each positive odd integer n, the n-torsion regular rings are always strongly clean is proved. |
||||||
Cuvinte-cheie regular rings, unit-regular rings, strongly regular rings, n-torsion regular rings, strongly n-torsion regular rings |
||||||
|
Cerif XML Export
<?xml version='1.0' encoding='utf-8'?> <CERIF xmlns='urn:xmlns:org:eurocris:cerif-1.5-1' xsi:schemaLocation='urn:xmlns:org:eurocris:cerif-1.5-1 http://www.eurocris.org/Uploads/Web%20pages/CERIF-1.5/CERIF_1.5_1.xsd' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' release='1.5' date='2012-10-07' sourceDatabase='Output Profile'> <cfResPubl> <cfResPublId>ibn-ResPubl-82661</cfResPublId> <cfResPublDate>2019-08-01</cfResPublDate> <cfVol>89</cfVol> <cfIssue>1</cfIssue> <cfStartPage>20</cfStartPage> <cfISSN>1024-7696</cfISSN> <cfURI>https://ibn.idsi.md/ro/vizualizare_articol/82661</cfURI> <cfTitle cfLangCode='EN' cfTrans='o'>n-Torsion Regular Rings</cfTitle> <cfKeyw cfLangCode='EN' cfTrans='o'>regular rings; unit-regular rings; strongly regular rings; n-torsion regular rings; strongly n-torsion regular rings</cfKeyw> <cfAbstr cfLangCode='EN' cfTrans='o'><p>As proper subclasses of the classes of unit-regular and strongly regular rings, respectively, the two new classes of n-torsion regular rings and strongly ntorsion regular rings are introduced and investigated for any natural number n. Their complete isomorphism classi¯cation is given as well. More concretely, although it has been recently shown by Nielsen-·Ster (TAMS, 2018) that unit-regular rings need not be strongly clean, the rather curious fact that, for each positive odd integer n, the n-torsion regular rings are always strongly clean is proved.</p></cfAbstr> <cfResPubl_Class> <cfClassId>eda2d9e9-34c5-11e1-b86c-0800200c9a66</cfClassId> <cfClassSchemeId>759af938-34ae-11e1-b86c-0800200c9a66</cfClassSchemeId> <cfStartDate>2019-08-01T24:00:00</cfStartDate> </cfResPubl_Class> <cfResPubl_Class> <cfClassId>e601872f-4b7e-4d88-929f-7df027b226c9</cfClassId> <cfClassSchemeId>40e90e2f-446d-460a-98e5-5dce57550c48</cfClassSchemeId> <cfStartDate>2019-08-01T24:00:00</cfStartDate> </cfResPubl_Class> <cfPers_ResPubl> <cfPersId>ibn-person-46149</cfPersId> <cfClassId>49815870-1cfe-11e1-8bc2-0800200c9a66</cfClassId> <cfClassSchemeId>b7135ad0-1d00-11e1-8bc2-0800200c9a66</cfClassSchemeId> <cfStartDate>2019-08-01T24:00:00</cfStartDate> </cfPers_ResPubl> </cfResPubl> <cfPers> <cfPersId>ibn-Pers-46149</cfPersId> <cfPersName_Pers> <cfPersNameId>ibn-PersName-46149-3</cfPersNameId> <cfClassId>55f90543-d631-42eb-8d47-d8d9266cbb26</cfClassId> <cfClassSchemeId>7375609d-cfa6-45ce-a803-75de69abe21f</cfClassSchemeId> <cfStartDate>2019-08-01T24:00:00</cfStartDate> <cfFamilyNames>Danchev</cfFamilyNames> <cfFirstNames>Peter</cfFirstNames> </cfPersName_Pers> </cfPers> </CERIF>