Homology of systemic modules
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Publication:2114195
DOI10.1007/s00229-021-01272-zzbMath1495.14098arXiv2005.12760OpenAlexW3126944904WikidataQ114018259 ScholiaQ114018259MaRDI QIDQ2114195
Jaiung Jun, Kalina Mincheva, Louis Halle Rowen
Publication date: 15 March 2022
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.12760
Semifields (12K10) Semirings (16Y60) Theories (e.g., algebraic theories), structure, and semantics (18C10) Definitions and generalizations in theory of categories (18A05) Preadditive, additive categories (18E05) Module categories and commutative rings (13C60) Foundations of tropical geometry and relations with algebra (14T10)
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Cites Work
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- Toward homological structure theory of semimodules: on semirings all of whose cyclic semimodules are projective
- The geometry of blueprints. I: Algebraic background and scheme theory
- Algebraic, tropical, and fuzzy geometry
- The moduli space of matroids
- Non-commutative differential geometry
- Duality theory for finite and infinite matroids with coefficients
- Decompositions of modules lacking zero sums
- 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
- Summand absorbing submodules of a module over a semiring
- Partial fields and matroid representation
- Supertropical algebra
- Projective systemic modules
- On exactness of long sequences of homology semimodules
- Čech cohomology of semiring schemes
- Toward homological characterization of semirings: Serre's conjecture and Bass's perfectness in a semiring context.
- Relations between twisted derivations and twisted cyclic homology
- MORITA EQUIVALENCE AND HOMOLOGICAL CHARACTERIZATION OF SEMIRINGS
- Linear independence over tropical semirings and beyond
- Categories with negation
- Tropical Arithmetic and Matrix Algebra
- Toward homological characterization of semirings by e-injective semimodules
- Homological Algebra
- Methods and applications of (max,+) linear algebra
- An informal overview of triples and systems
- Homological algebra in characteristic one
- Absolute Arithmetic and $\mathbb F_1$-Geometry
- Grassmann semialgebras and the Cayley-Hamilton theorem
- The hyperring of adèle classes
