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On Ordered Ternary Semigroups

Daddi, Vanita Rohit;Pawar, Yashashree Shivajirao

  • Received : 2009.06.03
  • Accepted : 2012.07.13
  • Published : 2012.12.23

Abstract

We introduce the concepts of ordered quasi-ideals, ordered bi-ideals in an ordered ternary semigroup and study their properties. Also regular ordered ternary semigroup is defined and several ideal-theoretical characterizations of the regular ordered ternary semigroups are furnished.

Keywords

ordered semigroup;ordered ternary semigroup;ordered left ideal;ordered right ideal;ordered lateral ideal;ordered quasi-ideal;ordered bi-ideal;regular ordered ternary semigroup

References

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