Results 31 to 40 of about 1,616 (70)
New building blocks for F1${\mathbb {F}}_1$‐geometry: Bands and band schemes
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sense of Krasner, and partial fields in the sense of Semple and Whittle.
Matthew Baker +2 more
wiley +1 more source
L‐Fuzzy Prime Ideals in Universal Algebras
Advances in Fuzzy Systems, Volume 2019, Issue 1, 2019., 2019 In this paper, the notions of L−fuzzy prime ideals and maximal L−fuzzy ideals of universal algebras are introduced by applying the general theory of algebraic fuzzy systems.
Berhanu Assaye Alaba +2 more
wiley +1 more source
The Tannakian Formalism and the Langlands Conjectures
, 2010 Let H be a connected reductive group over an algebraically closed field of characteristic zero, and let G be an abstract group. In this note we show that every homomorphism from the Grothendieck semiring of H to that of G which maps irreducible ...
Chevalley +5 more
core +1 more source
Universal quadratic forms and Northcott property of infinite number fields
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We show that if a universal quadratic form exists over an infinite degree, totally real extension of the field of rationals Q$\mathbb {Q}$, then the set of totally positive integers in the extension does not have the Northcott property. In particular, this implies that no universal form exists over the compositum of all totally real Galois ...
Nicolas Daans +2 more
wiley +1 more source
Ordered Quasi(BI)‐Γ‐Ideals in Ordered Γ‐Semirings
Journal of Mathematics, Volume 2019, Issue 1, 2019., 2019 In this paper, we have defined ordered quasi‐Γ‐ideals and ordered bi‐Γ‐ideals in ordered Γ‐semirings by defining the relation “≤” in ordered Γ semiring S as a ≤ b if a + x = b for any a, b, x ∈ S. By using this relation we have shown that ordered quasi‐Γ‐ideals and ordered bi‐Γ‐ideals in ordered Γ‐semirings are generalization of quasi‐ideals and bi ...
Ali N. A. Koam +3 more
wiley +1 more source
Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets
Journal of Mathematics, Volume 2024, Issue 1, 2024.The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah +2 more
wiley +1 more source
Advances in Civil Engineering, Volume 2024, Issue 1, 2024.The isogeometric (IG) Reissner–Mindlin (R–M) shell model solves the problem of shear and membrane locking that besets the finite element (FE) R–M shell model of nonthick underground structures, but still faces complicated modeling and computation, especially for the multijoint structures.
Jingxu Chen +3 more
wiley +1 more source
Weighted Automata and Monadic Second Order Logic
, 2013 Let S be a commutative semiring. M. Droste and P. Gastin have introduced in 2005 weighted monadic second order logic WMSOL with weights in S. They use a syntactic fragment RMSOL of WMSOL to characterize word functions (power series) recognizable by ...
Labai, Nadia, Makowsky, Johann A.
core +2 more sources
Gyroscopic Torques Generated by a Spinning Ring Torus
Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.The known publications related to the gyroscope theory consider only several geometries of the spinning rotors, like the disc, bars, rings, spheres, and others. The geometries of the spinning objects in engineering can have many designs that generate different values of inertial torques. A computing of inertial torques produced by the object’s rotating
Ryspek Usubamatov, John Clayton
wiley +1 more source
Tensor products and regularity properties of Cuntz semigroups
, 2014 The Cuntz semigroup of a C*-algebra is an important invariant in the structure and classification theory of C*-algebras. It captures more information than K-theory but is often more delicate to handle.
Antoine, Ramon +2 more
core +1 more source