On (σ-δ)-rings over Noetherian rings
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512.541.5 (11)
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BHAT, Vijay-Kumar, ABROL, Meeru, HANNA, Latif, ALKANDARI, Maryam. On (σ-δ)-rings over Noetherian rings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2016, nr. 3(82), pp. 3-11. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(82) / 2016 / ISSN 1024-7696 /ISSNe 2587-4322

On (σ-δ)-rings over Noetherian rings
CZU: 512.541.5
MSC 2010: 16N40, 16P40, 16W20

Pag. 3-11

Bhat Vijay-Kumar1, Abrol Meeru1, Hanna Latif2, Alkandari Maryam2
 
1 Shri Mata Vaishno Devi University,
2 Department of Mathematics Kuwait University
 
 
Disponibil în IBN: 19 aprilie 2017


Rezumat

For a ring R, an endomorphism sigma of R and a sigma -derivation delta of R, we introduce (sigma-delta)-ring and (sigma-delta)-rigid ring which are the generalizations of sigma (∗)-rings and delta -rings, and investigate their properties. Moreover, we prove that a (sigma-delta)-ring is 2-primal and its prime radical is completely semiprime.

Cuvinte-cheie
endomorphism, sigma(∗)-rings, delta-ring, 2-primal ring, (sigma-delta)-ring, (sigma-delta)-rigid ring,

derivation