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Cohen's Theorem for a Class of Semirings
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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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