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Some results on 2-absorbing ideals in commutative semirings

Kumar P., Dubey M. K., Sarohe P.

Journal of Mathematics and Applications

2015

Vol. 38

77--84

In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero identity which is a generalization of prime ideals of a commutative semiring and prove number of results related to the same. We also use these concepts to prove some results of Q-ideals in terms of subtractive extension of ideals in a commutative semiring.

On Generalised Quasi-ideals and Bi-ideals in Ternary Semigroups

Dubey M. K., Anuradha R.

Journal of Mathematics and Applications

2014

Vol. 37

27--37

In this paper, we introduce the notions of generalised quasi-ideals and generalised bi-ideals in a ternary semigroup. We also characterised these notions in terms of minimal quasi-ideals and minimal bi-ideals in a ternary semigroup.