Reversible Rings with Involutions and Some Minimalities

@article{Fakieh2013ReversibleRW,
  title={Reversible Rings with Involutions and Some Minimalities},
  author={W. Fakieh and S. Nauman},
  journal={The Scientific World Journal},
  year={2013},
  volume={2013}
}
In continuation of the recent developments on extended reversibilities on rings, we initiate here a study on reversible rings with involutions, or, in short, ∗-reversible rings. These rings are symmetric, reversible, reflexive, and semicommutative. In this note we will study some properties and examples of ∗-reversible rings. It is proved here that the polynomial rings of ∗-reversible rings may not be ∗-reversible. A criterion for rings which cannot adhere to any involution is developed and it… Expand

Topics from this paper

On Extensions of Right Symmetric Rings without Identity
Some notes on weakly *-reversible rings
Skew Polynomial Rings
Symmetric Rings with Involutions

References

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