Results 31 to 40 of about 729,322 (97)

Pseudo‐Quantum Fractional Calculus and Existence of Solutions for Delay Pseudo‐Fractional Differential Equations in Generalized Banach Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a new framework of pseudo‐q–fractional calculus in generalized Banach spaces by bringing together pseudo‐analysis, G–calculus, and quantum calculus. We introduce Liouville–Caputo and Riemann–Liouville pseudo‐q–fractional operators and outline their main properties. Then, by applying the Banach fixed point principle, we establish the
Alireza Hatami, Reza Saadati, Mohammad Bagher Ghaemi, Donal O’Regan, Smritijit Sen   +4 more
wiley   +1 more source

A Study on A−I−Γ-Hyperideals and m,n−Γ-Hyperfilters in Ordered Γ-Semihypergroups

, 2021
The concept of almost interior Γ-hyperideals (A−I−Γ-hyperideals) in ordered Γ-semihypergroups is a generalization of the concept of interior Γ-hyperideals (I−Γ-hyperideals).
Saber Omidi, Saeed Kosari, Yongsheng Rao, Zehui Shao, Maryam Akhoundi   +4 more
core   +1 more source

Prime Ideals in Matrices over Γ-Semihyperrings [PDF]

, 2020
The semihyperring structure is a common form of the hyperring structure with weakening properties. The more general structure is Γ-semihyperring, whose concept is generalized from Γ-semiring.
Mawaddah Abdal, Ainun, Anwar, Andi Muhammad, Amil Siddik, Andi Muhammad, Andi Muhammad Amil Siddik, Andi Muhammad Anwar, Ainun Mawaddah Abdal   +5 more
core   +1 more source

Finite models for positive combinatorial and exponential algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3380-3400, November 2025.
Abstract We use high girth, high chromatic number hypergraphs to show that there are finite models of the equational theory of the semiring of non‐negative integers whose equational theory has no finite axiomatisation, and show this also holds if factorial, fixed base exponentiation and operations for binomial coefficients are adjoined.
Tumadhir Alsulami, Marcel Jackson
wiley   +1 more source

Moments, sums of squares, and tropicalization

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman, Felipe Rincón, Rainer Sinn, Cynthia Vinzant, Josephine Yu   +4 more
wiley   +1 more source

Geometric realizations of the s‐weak order and its lattice quotients

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract For an n$n$‐tuple s${\bm{s}}$ of nonnegative integers, the s${\bm{s}}$‐weak order is a lattice structure on s${\bm{s}}$‐trees, generalizing the weak order on permutations. We first describe the join irreducible elements, the canonical join representations, and the forcing order of the s${\bm{s}}$‐weak order in terms of combinatorial objects ...
Eva Philippe, Vincent Pilaud
wiley   +1 more source

Characterizations of Regular Ordered Semirings by Ordered Quasi-Ideals [PDF]

, 2016
We introduce the notion of an ordered quasi-ideal of an ordered semiring and show that ordered quasi-ideals and ordered bi-ideals coincide in regular ordered semirings.
Bundit Pibaljommee, Pakorn Palakawong na Ayutthaya   +1 more
core   +1 more source

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, Tong Jin, Oliver Lorscheid   +2 more
wiley   +1 more source

Quasi-ideal dalam Γ -semiring [PDF]

, 2008
Konsep tentang quasi-ideal, yang pada mulanya hanya diperkenalkan dalam ring dan semigrup, telah mengalami perkembangan menjadi quasi-ideal dalam semiring dan Γ -semigrup.
Haris, Mokhamad
core  

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, Vítězslav Kala, Siu Hang Man   +2 more
wiley   +1 more source