Semiring systems arising from hyperrings
From MaRDI portal
Publication:6199050
DOI10.1016/j.jpaa.2023.107584arXiv2207.06739OpenAlexW4307696862MaRDI QIDQ6199050
Stéphane Gaubert, Marianne Akian, Louis Halle Rowen
Publication date: 23 February 2024
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.06739
Matrix equations and identities (15A24) Semirings (16Y60) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Hypergroups (20N20) Max-plus and related algebras (15A80) Hyperrings (16Y20) Foundations of tropical geometry and relations with algebra (14T10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Supertropical semirings and supervaluations
- The geometry of blueprints. I: Algebraic background and scheme theory
- Real reduced multirings and multifields
- The moduli space of matroids
- A class of hyperrings and hyperfields
- Inversion of matrices over a commutative semiring
- Duality theory for finite and infinite matroids with coefficients
- Valuated matroids
- Rings of generalized power series. II: Units and zero-divisors
- Algebraic geometry over hyperrings
- On the relation between hyperrings and fuzzy rings
- Matroids over partial hyperstructures
- Supertropical matrix algebra. II: Solving tropical equations
- Supertropical algebra
- Descartes' rule of signs, Newton polygons, and polynomials over hyperfields
- Projective systemic modules
- On normal tensor functors and coset decompositions for fusion categories
- A blueprinted view on $\mathbb F_1$-geometry
- Categorical notions of layered tropical algebra and geometry
- Tropical Cramer determinants revisited
- Linear independence over tropical semirings and beyond
- Categories with negation
- The Tropical Rank of a Tropical Matrix
- Boolean Representations of Simplicial Complexes and Matroids
- Ordering by Divisibility in Abstract Algebras
- Grassmann semialgebras and the Cayley-Hamilton theorem
- The hyperring of adèle classes