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On cohomology of locally profinite sets

Proceedings of the London Mathematical Society, Volume 132, Issue 5, May 2026.
Abstract We construct a locally profinite set of cardinality ℵω$\aleph _{\omega }$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality ℵω$\aleph _{\omega }$ within Zermelo ...
Ko Aoki
wiley   +1 more source

Optimization of asymmetric gyrostatic satellite kinematics in a resistive medium: A novel elliptic function solution. [PDF]

Sci Rep
Elneklawy AH, Amer TS, Elkilany SA, Seliem ASA, Hegazy N.   +4 more
europepmc   +1 more source

Quantitative approximate definable choices. [PDF]

Math Ann
Lerario A, Rizzi L, Tiberio D.
europepmc   +1 more source

An Optimized Pedestrian Inertial Navigation Method Based on the Birkhoff Pseudospectral Method. [PDF]

Sensors (Basel)
Zhang Z, Zhao D, Tian D.
europepmc   +1 more source

The MacWilliams Identity for the m-Spotty Weight Enumerators over ZpRk. [PDF]

Entropy (Basel)
Wang J, Jiang A, Solé P.
europepmc   +1 more source

Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]

Sci Rep
Iqbal N, Aldhabani MS, Alam N, Hamza AE, Mohammed WW, Hamoud AA.   +5 more
europepmc   +1 more source

Polynomial Perceptrons for Compact, Robust, and Interpretable Machine Learning Models. [PDF]

Entropy (Basel)
Aldana-Bobadilla E, Molina-Villegas A, Cesar-Hernandez J, Garza-Fabre M.   +3 more
europepmc   +1 more source

A Post-Quantum Public-Key Signcryption Scheme over Scalar Integers Based on a Modified LWE Structure. [PDF]

Sensors (Basel)
Kara M, Hammoudeh M, Alamri A, Alamri S.
europepmc   +1 more source

Exact soliton, lump, and breather solutions of the (3 + 1)-dimensional Jimbo-Miwa equation via the bilinear neural network method. [PDF]

Sci Rep
Hussein HH, Mekawey H, Elsheikh A.
europepmc   +1 more source

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Polynomial Algebras

Journal of Mathematical Physics, 1970
The present work is concerned with what are called polynomial algebras as an extension of the work of Ramakrishnan and his colleagues on the algebras of matrices satisfying conditions like Lm = I and Lm = Lk. Assuming Lm to be an m-dimensional linear space, we generate a class of associative algebras called polynomial algebras by requiring that every ...
Raghavacharyulu, I. V. V., Menon, Nalini B.   +1 more
openaire   +1 more source