Results 91 to 100 of about 20,979 (232)

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

Primitive decompositions of idempotents of the group algebras of dihedral groups and generalized quaternion groups

AIMS Mathematics
In this paper, we introduce a method for computing the primitive decomposition of idempotents in any semisimple finite group algebra, utilizing its matrix representations and Wedderburn decomposition.
Lilan Dai, Yunnan Li
doaj   +1 more source

Growth problems in diagram categories

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3454-3469, November 2025.
Abstract In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Jonathan Gruber, Daniel Tubbenhauer
wiley   +1 more source

Units in group rings and blocks of Klein four or dihedral defect

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3470-3489, November 2025.
Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
wiley   +1 more source

An analog of the Hille theorem for hypercomplex functions in a finite-dimensional commutative algebra

Математичні Студії
We prove that a locally bounded and differentiable in the sense of Gâteaux function given in a finite-dimensional commutative Banach algebra over the complex field is also differentiable in the sense of Lorc and it is a monogenic function.
S. A. Plaksa, V. S. Shpakivskyi, M. V. Tkachuk   +2 more
doaj   +1 more source

Free idempotent generated semigroups: The word problem and structure via\n gain graphs [PDF]

, 2020
Igor Dolinka
openalex   +1 more source

Decomposition of finitely generated projective modules over Bezout ring [PDF]

Математичні Студії, 2013
It is shown that a commutative Bezout ring $R$ of stable range 2 isan elementary divisor ring if and only if for each ideal $I$ everyfinitely generated projective $R/I$-module is a direct sum ofprincipal ideals generated by idempotents.
B. V. Zabavsky, S. І. Bilavska
doaj  

Idempotents and homology of diagram algebras [PDF]

, 2022
Guy Boyde
openalex   +1 more source

A generalization of Gelfand-Mazur theorem

International Journal of Mathematics and Mathematical Sciences, 1993
In this paper, we show that if A is a unital semisimple complex Banach algebra with only the trivial idempotents and if σA(x) is countable for each x∈Fr(G(A)), then A≅C, this generalizes the Gelfand-Mazur theorem.
Sung Guen Kim
doaj   +1 more source

Semi-Idempotents in Neutrosophic Rings

Mathematics, 2019
In complex rings or complex fields, the notion of imaginary element i with i 2 = − 1 or the complex number i is included, while, in the neutrosophic rings, the indeterminate element I where I 2 = I is included.
Vasantha Kandasamy W.B., Ilanthenral Kandasamy, Florentin Smarandache   +2 more
doaj   +1 more source