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On Maximal K- Ideals of Semirings


Affiliations
1 Department of Mathematics University of Burdwan 713104. West Bengal, India
2 Department of Mathematics, S S Mahavidyalaya, Ajodhya, Howrah, India
     

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The k- ideals of semirings were investigated by M K Sen and M R Adhikari' I In this paper, for a semiring S with commutative addition, conditions are considered such that S has non-trivial h-ideals or maximal h-ideals, among others by the help of lizuka Congruence class semiring S/A defined by an ideal A of S. Moreover, semirings with descending chain conditions are studied.

Keywords

Semirings, k-ideal, h-ideal. Bourne Congruence and lizuka congruence
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  • On Maximal K- Ideals of Semirings

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Authors

M R Adhikari
Department of Mathematics University of Burdwan 713104. West Bengal, India
Sanjib Kumar Das
Department of Mathematics, S S Mahavidyalaya, Ajodhya, Howrah, India

Abstract


The k- ideals of semirings were investigated by M K Sen and M R Adhikari' I In this paper, for a semiring S with commutative addition, conditions are considered such that S has non-trivial h-ideals or maximal h-ideals, among others by the help of lizuka Congruence class semiring S/A defined by an ideal A of S. Moreover, semirings with descending chain conditions are studied.

Keywords


Semirings, k-ideal, h-ideal. Bourne Congruence and lizuka congruence

References