Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication
Let R be a ring with an endomorphism σ. We introduce (σ, 0)-multiplication which is a generalization of the simple 0- multiplication. It is proved that for arbitrary positive integers m ≤ n and n ≥ 2, R[x; σ] is a reduced ring if and only if Sn,m(R) is a ring with (σ, 0)-multiplication.
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| Date: | 2014 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2014
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152357 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Rigid, quasi-rigid and matrix rings with (σ,0)-multiplication / C. Abdioglu, S. Şahinkay, A. KÖR // Algebra and Discrete Mathematics. — 2014. — Vol. 17, № 1. — С. 1–11. — Бібліогр.: 8 назв. — англ. |