Results 31 to 40 of about 1,450,468 (275)

Non-commutative hypergroup of order five [PDF]

open access: yes, 2016
We prove that all hypergroups of order four are commutative and that there exists a non-comutative hypergroup of order five. These facts imply that the minimum order of non-commutative hypergroups is five, even though the minimum order of non-commutative
Ohno, Hiromichi   +4 more
core   +1 more source

The Structure of Semiconic Idempotent Commutative Residuated Lattices

open access: yesMathematics
In this paper, we study semiconic idempotent commutative residuated lattices. After giving some properties of such residuated lattices, we obtain a structure theorem for semiconic idempotent commutative residuated lattices. As an application, we make use
Wei Chen
doaj   +1 more source

Subrings of I-rings and S-rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
Let R be a non-commutative associative ring with unity 1≠0, a left R-module is said to satisfy property (I) (resp. (S)) if every injective (resp. surjective) endomorphism of M is an automorphism of M.
Mamadou Sanghare
doaj   +1 more source

Symmetric Monoidal Structure with Local Character is a Property [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
In previous work we proved that, for categories of free finite-dimensional modules over a commutative semiring, linear compact-closed symmetric monoidal structure is a property, rather than a structure.
Stefano Gogioso, Dan Marsden, Bob Coecke
doaj   +1 more source

A note on a generalization of injective modules

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2020
As a proper generalization of injective modules in term of supplements, we say that a module $M$ has the property (ME) if, whenever $M\subseteq N$, $M$ has a supplement $K$ in $N$, where $K$ has a mutual supplement in $N$. In this study, we obtain that $(
B.N. Türkmen, E. Türkmen
doaj   +1 more source

The non-commutative standard model [PDF]

open access: yes, 1996
In this work aspects of the classical Connes-Lott non-commutative standard model are examined. In particular the relationship between the chiral structure of the standard model and the condition of Poincaré Duality is investigated.
Asquith, Rebecca, Asquith, R.
core  

A Perspective on Interactive Theorem Provers in Physics

open access: yesAdvanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Centrally Essential Rings and Semirings

open access: yesMathematics, 2022
This paper is a survey of results on centrally essential rings and semirings. A ring (respectively, semiring) is said to be centrally essential if it is either commutative or satisfies the property that for any non-central element a, there exist non-zero
Askar Tuganbaev
doaj   +1 more source

On the commutative properties of boundary integral operators [PDF]

open access: yesProceedings of the American Mathematical Society, 1979
A discussion of the interior Dirichlet and Neumann problems of classical potential theory can be given in terms of the symmeterisers of certain related integral operators. Recent developments in the theory and application of integral equations of the first kind have made this approach towards the solution of boundary value problems a more attractive ...
openaire   +2 more sources

An Efficient Biological Codon Recognition Reservoir Computing System Based on Low‐Energy Epitaxial Hf0.52Zr0.48O2 Ferroelectric Memristors

open access: yesAdvanced Science, EarlyView.
This work reports on epitaxially grown Hf0.52Zr0.48O2 ferroelectric memristors with high stability (high durability exceeding 108 cycles and a retention time exceeding 104 s for 16 states) and ultra‐low operating energy consumption (∼121 fJ). A memristor array‐based reservoir computing system is constructed and applied for the first time in the field ...
Ying Liu   +6 more
wiley   +1 more source

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