NON-UNITAL ORE EXTENSIONS

被引：0
|
作者：
Lundstrom, P. A. T. R. I. K. [1 ]
Oinert, J. O. H. A. N. [2 ]
Richter, J. O. H. A. N. [2 ]
机构：
[1] Univ West, Dept Engn Sci, SE-46186 Trollhattan, Sweden
[2] Blekinge Inst Technol, Dept Math & Nat Sci, SE-37179 Karlskrona, Sweden
来源：
COLLOQUIUM MATHEMATICUM | 2023年 / 172卷 / 02期
关键词：
non-unital ring; Ore extension; simple ring; outer derivation; RINGS;
D O I：
10.4064/cm8941-11-2022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Ore extensions of non-unital associative rings. We provide a characterization of simple non-unital differential polynomial rings R[x; delta], under the hy-pothesis that R is s-unital and ker(delta) contains a non-zero idempotent. This result gener-alizes a result by oinert, Richter and Silvestrov from the unital setting. We also present a family of examples of simple non-unital differential polynomial rings.
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页码：217 / 229
页数：13
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