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Article

Ghoneim, S. ; Kechlibar, M. ; Kepka, Tomáš
Ordinary selfdistributive rings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 2, pp. 293-299
MSC: 16A99, 16D40, 16D70, 16N40, 16R10, 16S60, 16S99 | MR 2176893 | Zbl 1106.16303
Keywords:
ring; selfdistributive; ordinary
Summary:
Left selfdistributive rings (i.e., $xyz = xyxz$) which are semidirect sums of boolean rings and rings nilpotent of index at most 3 are studied.
References:
[1] Birkenmaier G., Heatherly H.: Operation inducing systems. Algebra Universalis 24 (1987), 137-142. MR 0921538
[2] Birkenmeier G., Heatherly H., Kepka T.: Rings with left self distributive multiplication. Acta Math. Hungar. 60 (1992), 107-114. MR 1177249 | Zbl 0782.16018
[3] Ghoneim S., Kepka T.: Left selfdistributive rings generated by idempotents. Acta Math. Hungar. 101 (2003), 21-31. MR 2011459 | Zbl 1053.16001
[4] Kelarev A.V.: On left self distributive rings. Acta Math. Hungar. 71 (1996), 121-122. MR 1398030 | Zbl 0848.16016
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