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Multiplicatively idempotent semirings in which all congruences are ideal

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Publication:2090536
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DOI10.1134/S0001434622090061MaRDI QIDQ2090536

Yanyan Li

Publication date: 25 October 2022

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

semiringBoolean ringmultiplicatively idempotent semiringgeneralized Boolean latticeideal congruence


Mathematics Subject Classification ID

Distributive lattices (06Dxx) Boolean algebras (Boolean rings) (06Exx) Order, lattices, ordered algebraic structures (06-XX)


Related Items (1)

Multiplicatively idempotent semirings with annihilator condition




Cites Work

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  • Annihilator characterizations of Boolean rings and Boolean lattices
  • Completely prime ideals in multiplicatively idempotent semirings




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