ON STRUCTURES OF RIGHT DUO SEMINEARRING

S. Senthil, R. Perumal, R. Arulprakasam

  DOI:  https://doi.org/10.37418/amsj.9.11.28

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A right ideal of a seminearring $S$ need not be two-sided ideal in general. We concentrate on those seminearrings which exhibit this property.  It is quite natural for us to investigate the distinct properties of such seminearrings. In this paper we introduce the concept of right duo seminearring and prove some of the salient features of a right duo seminearrings when $S$ is a regular seminearring. We also characterise such a seminearring.

Keywords: Left ideal, Right ideal, Right duo seminearring, Regular seminearring, Normal seminearring.