On Annihilators of Polynomial Near-Rings

Sh. Ghalandarzadeh, P. Malakooti Rad, S. Shirinkam

K. N. Toosi University of Technology

Abstract: Let $R$ be a ring and let $R_0[x]$ be the polynomial near-ring over $R$. We study relations between the set of annihilators in $R$ and the set of annihilators in $R_0[x]$.

Keywords: polynomial near-ring over a ring, near-Armendariz ring, quasi-near-Armendariz ring, quasi-Baer annihilator, idempotent, reduced ring.

UDC: 512.55

Received: 04.04.2009
Revised: 04.09.2010

DOI: 10.4213/mzm9044

 English version: Mathematical Notes, 2011, 89:3, 328–335

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