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Cohen's Theorem for a Class of Semirings


Affiliations
1 Department of Mathematics, University of Burdwan, Burdwan, India
2 Department of Pure Mathematics, Calcutta University, Calcutta, India
     

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The main aim of this paper is to show that Cohen's Theorem is valid for AC-Noetherian semirings.

Keywords

Semiring, Noetherian semiring, Cohen's Theorem, Congruence
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  • IS Cohen, Commutative nngs with restricted minimum condition, Duke Math J, 27-42, 1950

  • P J Allen, Cohen's theorem for a class of Noetherian semirings, Puhl Math Debrecen, 17, 169-171, 1970

  • M K Sen and M R Adhikari, A generalization of Cohen's theorem in additive inverse semirings, Internatwnl J of Math and Math Sc, USA (to appear)

  • M K Sen and M R Adhikari, On division hemirmgs, Cal Math Soc, 83, 267-274, 1991

  • M K Sen and M R Adhikari On maximal k-ideals of semirings, Proc Amer Math Soc, 118 (3) 699-703, 1993

  • MR Adhikari, Groups, nngs and semirings with applications, Orient Longman (to appear)

  • H S Vandiver, Note on a simple type of algebra in which cancellation law of addition does not hold. Bull Amer Math Soc 40, 914-920, 1934


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  • Cohen's Theorem for a Class of Semirings

Abstract Views: 128  |  PDF Views: 0

Authors

M. R. Adhikari
Department of Mathematics, University of Burdwan, Burdwan, India
M. K. Sen
Department of Pure Mathematics, Calcutta University, Calcutta, India

Abstract


The main aim of this paper is to show that Cohen's Theorem is valid for AC-Noetherian semirings.

Keywords


Semiring, Noetherian semiring, Cohen's Theorem, Congruence

References