QUASI IDEALS IN TERNARY PARTIAL SEMIRINGS

Y. Prabhakara Rao

  DOI:  https://doi.org/10.37418/amsj.9.11.112

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This paper attempts to present the notions of quasi ideal, principal quasi ideal and minimal quasi ideal in a ternary partial semiring. The most important aspect of this paper is to study the properties of these three ideals. The notions of minimal left ideal, minimal lateral ideal and minimal right ideal in ternary partial semiring are also introduced by characterizing regular ternary partial semiring in terms of these ideals in ternary partial semiring.

Keywords: Quasi ideal, principal quasi ideal, minimal quasi ideal, minimal left ideal, minimal lateral ideal, minimal right ideal, regular ternary partial semiring.