The Journal of the Indian Mathematical Society

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2-Absorbing Primary Subsemimodules Over Partial Semirings


Affiliations
1 Department of Basic Science and Humanities, Narasaraopet Engineering College, Narasaraopet - 522601, Andhra Pradesh, India
2 Department of Science and Humanities, ANU College of Engineering, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur - 522510, Andhra Pradesh, India
3 Department of Basic Engineering, DVR and Dr. HS MIC College of Technology, Kanchikacherla - 521180, Andhra Pradesh, India
     

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A partial semiring is a structure possessing an infinitary partial addition and a binary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional compo- sition is a partial semiring. In this paper we obtain the characteristics of 2-absorbing primary subsemimodules and weakly 2-absorbing primary subsemimodules in partial semirings.

Keywords

Semimodule, 2-absorbing primary subsemimodule, weakly 2-absorbing primary subsemimodule, commutative partial semiring
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  • 2-Absorbing Primary Subsemimodules Over Partial Semirings

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Authors

N. Ravi Babu
Department of Basic Science and Humanities, Narasaraopet Engineering College, Narasaraopet - 522601, Andhra Pradesh, India
T. V. Pradeep Kumar
Department of Science and Humanities, ANU College of Engineering, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur - 522510, Andhra Pradesh, India
P. V. Srinivasa Rao
Department of Basic Engineering, DVR and Dr. HS MIC College of Technology, Kanchikacherla - 521180, Andhra Pradesh, India

Abstract


A partial semiring is a structure possessing an infinitary partial addition and a binary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional compo- sition is a partial semiring. In this paper we obtain the characteristics of 2-absorbing primary subsemimodules and weakly 2-absorbing primary subsemimodules in partial semirings.

Keywords


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

References





DOI: https://doi.org/10.18311/jims%2F2021%2F26057