2-Absorbing and Weakly 2-Absorbing Subsemimodules

N. Ravi Babu; DR. T.V. Pradeep Kumar; DR. P.V. Srinivasa Rao

doi:https://doi.org/10.14445/22315373/IJMTT-V58P529

International Journal of Mathematics Trends and Technology

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Volume 58 | Number 3 | Year 2018 | Article Id. IJMTT-V58P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V58P529

2-Absorbing and Weakly 2-Absorbing Subsemimodules

N. Ravi Babu, DR. T.V. Pradeep Kumar, DR. P.V. Srinivasa Rao

Abstract

A partial semiring is a structure possessing an innitary partial addition and a binary multiplication, subject to a set of axioms. The partial functions under disjoint- domain sums and functional composition is a partial semiring. In this paper we obtain equivalent conditions and some characteristics of 2-absorbing subsemimodules and weakly 2-absorbing subsemimodules in partial semirings.

Keywords

Semimodule, 2-absorbing subsemimodule, weakly 2-absorbing subsemimodule, commutative partial semiring.

References

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Citation :

N. Ravi Babu, DR. T.V. Pradeep Kumar, DR. P.V. Srinivasa Rao, "2-Absorbing and Weakly 2-Absorbing Subsemimodules," International Journal of Mathematics Trends and Technology (IJMTT), vol. 58, no. 3, pp. 205-214, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V58P529