# Ordinary selfdistributive rings

Sobhy Ghoneim; Marian Kechlibar; Tomáš Kepka

Commentationes Mathematicae Universitatis Carolinae (2005)

- Volume: 46, Issue: 2, page 293-299
- ISSN: 0010-2628

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topGhoneim, Sobhy, Kechlibar, Marian, and Kepka, Tomáš. "Ordinary selfdistributive rings." Commentationes Mathematicae Universitatis Carolinae 46.2 (2005): 293-299. <http://eudml.org/doc/249516>.

@article{Ghoneim2005,

abstract = {Left selfdistributive rings (i.e., $xyz = xyxz$) which are semidirect sums of boolean rings and rings nilpotent of index at most 3 are studied.},

author = {Ghoneim, Sobhy, Kechlibar, Marian, Kepka, Tomáš},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {ring; selfdistributive; ordinary; left selfdistributive rings; idempotents; Boolean rings; subdirect sums; nil radical; left ideals; nilpotent rings},

language = {eng},

number = {2},

pages = {293-299},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Ordinary selfdistributive rings},

url = {http://eudml.org/doc/249516},

volume = {46},

year = {2005},

}

TY - JOUR

AU - Ghoneim, Sobhy

AU - Kechlibar, Marian

AU - Kepka, Tomáš

TI - Ordinary selfdistributive rings

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2005

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 46

IS - 2

SP - 293

EP - 299

AB - Left selfdistributive rings (i.e., $xyz = xyxz$) which are semidirect sums of boolean rings and rings nilpotent of index at most 3 are studied.

LA - eng

KW - ring; selfdistributive; ordinary; left selfdistributive rings; idempotents; Boolean rings; subdirect sums; nil radical; left ideals; nilpotent rings

UR - http://eudml.org/doc/249516

ER -

## References

top- Birkenmaier G., Heatherly H., Operation inducing systems, Algebra Universalis 24 (1987), 137-142. (1987) MR0921538
- Birkenmeier G., Heatherly H., Kepka T., Rings with left self distributive multiplication, Acta Math. Hungar. 60 (1992), 107-114. (1992) Zbl0782.16018MR1177249
- Ghoneim S., Kepka T., Left selfdistributive rings generated by idempotents, Acta Math. Hungar. 101 (2003), 21-31. (2003) Zbl1053.16001MR2011459
- Kelarev A.V., On left self distributive rings, Acta Math. Hungar. 71 (1996), 121-122. (1996) Zbl0848.16016MR1398030

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