Congruence-free commutative semirings

DOI10.1007/BF02573125zbMath0636.16020WikidataQ72421894 ScholiaQ72421894MaRDI QIDQ1097949

Paul B. Fenoglio, Sidney S. Mitchell

Publication date: 1988

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134916

zbMATH Keywords

positive coneBoolean semiringcancellative semigrouparchimedean ordered fieldcongruence-free semiringcongruences on semiringsmultiplicatively absorbing element

Mathematics Subject Classification ID

Semifields (12K10) Semirings (16Y60)

Related Items (15)

Simpleness of Leavitt path algebras with coefficients in a commutative semiring ⋮ On V-semirings and Semirings All of Whose Cyclic Semimodules Are Injective ⋮ Homomorphisms and kernels of semifields ⋮ Simple semirings with left multiplicatively absorbing elements ⋮ On Steinberg algebras of Hausdorff ample groupoids over commutative semirings ⋮ Finite simple additively idempotent semirings. ⋮ Toward homological structure theory of semimodules: on semirings all of whose cyclic semimodules are projective ⋮ Simple commutative semirings ⋮ On simpleness of semirings and complete semirings ⋮ Congruence-simple subsemirings of \(\mathbb{Q}^+\). ⋮ The semiring of 1-preserving endomorphisms of a semilattice ⋮ The endomorphism semiring of a semilattice. ⋮ The lattice of ai-semiring varieties satisfying \(x^n \approx x\) and \(xy \approx yx\) ⋮ On Radicals of Semirings and Related Problems ⋮ Simple semirings with right multiplicatively absorbing elements

Cites Work

• On 0-simple semirings, semigroup semirings, and two kinds of division semirings
• Division semirings with 1+1=1
• Regular semirings
• ON MULTIPLICATIVE IDEMPOTENTS OF A POTENT SEMIRING
• Multiplicative cancellativity of semirings and semigroups
• Über Halbringe und Halbkörper. I
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