Results 21 to 30 of about 76 (75)

Brouwer’s Fixed Point Theorem and Open Mapping Theorem in Hemi‐Normed Spaces

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper aims for the further development of hemi‐normed spaces, which is a proper extension of normed spaces. In this regard, we establish some fundamental results of functional analysis, including Brouwer’s theorem and Schauder’s fixed point theorem for hemi‐normed spaces.
Liaqat Ali, Muhammad Aslam, Ghulam Farid, Hala H. Taha, Smritijit Sen   +4 more
wiley   +1 more source

From Cultivation to Commerce: A Comprehensive Review of the Ecology, Chemistry, Production, Sustainability, and Market Prospects of an Ethiopian Herb Korarima (Aframomum corrorima)

Scientifica, Volume 2026, Issue 1, 2026.
Korarima (Aframomum corrorima) is a perennial aromatic herb native to Ethiopia, widely valued for its culinary, medicinal, and cultural importance. It naturally grows under shaded forest ecosystems; however, deforestation and habitat degradation have led to a significant decline in its wild populations.
Netsanet Tena, Bizuayehu Desta, Venkatesh Srinivasan   +2 more
wiley   +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

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

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

Mechanical Response and Control Measures of Pile Foundations under Close‐Range Shield Tunneling in Water‐Rich Sandy Pebble Strata

Advances in Civil Engineering, Volume 2024, Issue 1, 2024.
By relying on the foundation engineering of pile foundations for the Chengdu Metro Line 27 shield tunneling through interchange bridges, three‐dimensional numerical simulation results are used to verify field measurements. This study investigates the horizontal displacement, vertical displacement, and stress characteristics of the pile foundation ...
Yanpeng Du, Peng Zhang, Jiabing Zhang, Wangjie Wu   +3 more
wiley   +1 more source

Transitive Closure Preservers for Matrices over a Class of Semirings

Mathematics
We introduce the transitive closure operator Γ on the set of square matrices over a class of semirings, and then define the transitive closure of a matrix. We characterize the surjective linear transformations of matrices preserving (strongly preserving)
Weina Deng, Baomin Yu
doaj   +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, Naveed Yaqoob, Tareq Al-shami   +2 more
wiley   +1 more source