Transparency of Ore extensions over left σ -(S, 1) rings
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2020-12-20 18:57
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512.533.2 (4)
Algebra (400)
SM ISO690:2012
BHAT, Vijay-Kumar, SINGH, Pradeep, DUTTA, Arun. Transparency of Ore extensions over left σ -(S, 1) rings. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, nr. 3(88), pp. 14-21. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(88) / 2018 / ISSN 1024-7696 /ISSNe 2587-4322

Transparency of Ore extensions over left σ -(S, 1) rings

CZU: 512.533.2
MSC 2010: 16S36, 16N40, 16P40.

Pag. 14-21

Bhat Vijay-Kumar, Singh Pradeep, Dutta Arun
 
School of Mathematics, SMVD University, Katra
 
 
Disponibil în IBN: 16 aprilie 2019


Rezumat

Let R be a ring and  be an endomorphism of R. Recall that a ring R is said to be a left σ-(S, 1) ring if for a, b ∈ R, ab = 0 implies that aRb = 0 and σ(a)Rb = 0. In this paper we discuss a stronger type of primary decomposition (known as transparency) of a left σ-(S, 1) ring R, and Ore extension R[x; ].

Cuvinte-cheie
automorphism, quotient ring, left σ-(S, 1) ring, transparent ring.