Projective systemic modules

DOI10.1016/j.jpaa.2019.106243zbMath1447.16048arXiv1809.01996OpenAlexW2981000853WikidataQ114013819 ScholiaQ114013819MaRDI QIDQ2301894

Jaiung Jun, Kalina Mincheva, Louis Halle Rowen

Publication date: 25 February 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01996

zbMATH Keywords

symmetrizationsystemmoduleprojectivesupertropical algebraSchanuel's lemma

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Combinatorial aspects of matroids and geometric lattices (05B35) Semirings (16Y60) Schemes and morphisms (14A15) Applications of tropical geometry (14T90)

Related Items

Vector bundles on tropical schemes, Semiring systems arising from hyperrings, Clifford semialgebras, Categories with negation, Lattices, spectral spaces, and closure operations on idempotent semirings, Homology of systemic modules, Algebras with a negation map, $\mathcal{T}$-semiring pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pure dimension and projectivity of tropical polytopes
• The geometry of blueprints. I: Algebraic background and scheme theory
• The moduli space of matroids
• Hyperfield Grassmannians
• Projective modules over polyhedral semirings
• On congruence-semisimple semirings and the \(K_{0}\)-group characterization of ultramatricial algebras over semifields
• On the relation between hyperrings and fuzzy rings
• Matroids over partial hyperstructures
• Summand absorbing submodules of a module over a semiring
• Supertropical algebra
• Homology of systemic modules
• Algebras with a negation map
• Toward homological characterization of semirings: Serre's conjecture and Bass's perfectness in a semiring context.
• MORITA EQUIVALENCE AND HOMOLOGICAL CHARACTERIZATION OF SEMIRINGS
• Categories with negation
• Tropical Arithmetic and Matrix Algebra
• Faith’s problem on $R$-projectivity is undecidable
• An informal overview of triples and systems
• Homological algebra in characteristic one
• Grassmann semialgebras and the Cayley-Hamilton theorem
• The hyperring of adèle classes