Results 71 to 80 of about 235 (167)

Monoids of Intervals of Ordered Abelian Groups

Journal of Algebra, 1996
For any partially ordered abelian group G, we relate the structure of the ordered monoid ?(G) of intervals of G (i.e., nonempty, upward directed lower subsets of G), to various properties of G, as for example interpolation properties, or topological properties of the state space when G has an order-unit.
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Right-orderability versus left-orderability for monoids

Semigroup Forum, 2021
We investigate the relationship between (total) left- and right-orderability for monoids, in particular illustrating the finite case by various structural observations and counterexamples, also highlighting the particular role played by \emph{positive} orderability.Moreover, we construct a non-left-orderable, positively right-orderable submonoid of the
openaire   +5 more sources

Modeling (∞,1)$(\infty,1)$‐categories with Segal spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract In this paper, we construct a model structure for (∞,1)$(\infty,1)$‐categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of (∞,1)$(\infty,1)$‐categories given by complete Segal spaces and Segal categories.
Lyne Moser, Joost Nuiten
wiley   +1 more source

The monoid-now: a category theoretic approach to the structure of phenomenological time-consciousness. [PDF]

Front Psychol, 2023
Taguchi S, Saigo H.
europepmc   +1 more source

What is category theory to cognitive science? Compositional representation and comparison. [PDF]

Front Psychol, 2022
Phillips S.
europepmc   +1 more source

Ordered prime spectra of bounded $DRl$-monoids [PDF]

Mathematica Bohemica, 2000
Summary: Ordered prime spectra of Boolean products of bounded \(DRl\)-monoids are described by means of their decompositions to the prime spectra of the components.
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On the algebraic structure of Pythagorean triples

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali
A Pythagorean triple is an ordered triple of integers (a,b,c) ≠ (0, 0, 0) such that a^2 + b^2 = c^2. It is well known that the set ℘ of all Pythagorean triples has an intrinsic structure of commutative monoid with respect to a suitable binary operation (℘
Giuseppina Anatriello, Giovanni Vincenzi
doaj   +1 more source

Algebras, Graphs and Ordered Sets - ALGOS 2020 & the Mathematical Contributions of Maurice Pouzet. [PDF]

Order (Dordr), 2023
Couceiro M, Duffus D.
europepmc   +1 more source

Brauer and partition diagram models for phylogenetic trees and forests. [PDF]

Proc Math Phys Eng Sci, 2022
Francis A, Jarvis PD.
europepmc   +1 more source

Orders of Finite Reductive Monoids

, 2008
We show four formulas for calculating the orders of finite reductive monoids with zero. As applications, these formulas are then used to calculate the orders of finite reductive monoids induced from the $F_q$-split $\J$-irreducible monoids $\overline {K^*ρ(G_0)}$ where $G_0$ is a simple algebraic group over the algebraic closure of $F_q$, and $ρ: G_0 ...
Li, Zhuo, Li, Zhenheng, Cao, You'an
openaire   +2 more sources