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Articolul urmator |
560 11 |
Ultima descărcare din IBN: 2023-10-02 10:28 |
Căutarea după subiecte similare conform CZU |
512.541+512.55 (1) |
Algebră (400) |
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. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 1(89) / 2019 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 512.541+512.55 | ||||||
MSC 2010: 16D60,16S34, 16U60. | ||||||
Pag. 20-29 | ||||||
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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. |
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Cuvinte-cheie regular rings, unit-regular rings, strongly regular rings, n-torsion regular rings, strongly n-torsion regular rings |
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