Algebras with a negation map
DOI10.1007/s40879-021-00499-0OpenAlexW3206791082MaRDI QIDQ2115330
Publication date: 15 March 2022
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.00353
semigroupsymmetrizationLie algebrasystempolynomialcongruenceexterior algebratensor productPuiseux seriesvaluationsuperalgebramodulelinear algebramatrixfuzzy ringsemiringtropical geometrymonoidtropicalizationsupertropical algebraGrassmann algebratropical algebrahyperfieldsemifieldtangiblenegation maptripleELT algebraexploded algebrametatangiblesurpassing relation
Semifields (12K10) Semirings (16Y60) Hypergroups (20N20) Fuzzy algebraic structures (08A72) Foundations of tropical geometry and relations with algebra (14T10)
Related Items (4)
Cites Work
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- Quadratic and symmetric bilinear forms on modules with unique base over a semiring
- Supertropical linear algebra
- Exploded manifolds
- The tropical Nullstellensatz for congruences
- Supertropical matrix algebra
- Supertropical semirings and supervaluations
- Algebraic, tropical, and fuzzy geometry
- A combinatorial proof of the Cayley-Hamilton theorem
- On invertible matrices over antirings
- Supertropical quadratic forms. I.
- V-valuations of a commutative ring. I
- Invertible and nilpotent matrices over antirings
- Inversion of matrices over a commutative semiring
- Duality theory for finite and infinite matroids with coefficients
- Tensor product of functors
- Prime congruences of additively idempotent semirings and a Nullstellensatz for tropical polynomials
- Algebraic geometry over hyperrings
- On the relation between hyperrings and fuzzy rings
- Matroids over partial hyperstructures
- Partial fields and matroid representation
- Supertropical algebra
- Projective systemic modules
- Graphs, dioids and semirings. New models and algorithms.
- A blueprinted view on $\mathbb F_1$-geometry
- Categorical notions of layered tropical algebra and geometry
- Tropical Cramer determinants revisited
- From monoids to hyperstructures: in search of an absolute arithmetic
- Linear independence over tropical semirings and beyond
- Tropical Arithmetic and Matrix Algebra
- The Tropical Rank of a Tropical Matrix
- Supertropical SLn
- Methods and applications of (max,+) linear algebra
- An informal overview of triples and systems
- Categories of Layered Semirings
- Homological algebra in characteristic one
- Zur Theorie der Halbkörper. I
- FACTORIZATION OF TROPICAL MATRICES
- Nonassociative valuations
- Produits tensoriels topologiques et espaces nucléaires
- Grassmann semialgebras and the Cayley-Hamilton theorem
- Tropical algebraic geometry
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