# On Extensions of Right Symmetric Rings without Identity

@article{Shafee2014OnEO, title={On Extensions of Right Symmetric Rings without Identity}, author={Basmah H. Shafee and S. Nauman}, journal={Advances in Pure Mathematics}, year={2014}, volume={04}, pages={665-673} }

Let us
call a ring R (without identity) to
be right symmetric if for any triple a,b,c,∈R abc = 0 then acb = 0. Such rings are neither
symmetric nor reversible (in general) but are semicommutative.
With an idempotent they take care of the sheaf representation as obtained by
Lambek. Klein 4-rings and their several generalizations and extensions are
proved to be members of such class of rings. An extension obtained is a McCoy
ring and its power series ring is also proved to be a McCoy ring.

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