Results 31 to 40 of about 136 (119)

Q-Neutrosophic Spherical-Cubic Soft Algebra for Enhancing Residential Space Art Design Courses Quality in IoT-Enabled Smart Factories [PDF]

Neutrosophic Sets and Systems
This paper introduces a new mathematical model called Q-Neutrosophic Spherical-Cubic Soft Evaluation Algebra (Q-NSCSEA) to support the improvement of educational practices in residential space art design courses. These courses are increasingly integrated
Xiaodan Kong
doaj   +1 more source

Half quasigroups and generalized quasigroup orthogonality

Discrete Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Multiplier Hopf Coquasigroup: Motivation and Biduality

Mathematics, 2022
Inspired by the multiplier Hopf algebra theory introduced by A. Van Daele, this paper introduces a new algebraic structure, a multiplier Hopf coquasigroup, by constructing the integral dual of an infinite-dimensional Hopf quasigroup with faithful ...
Tao Yang
doaj   +1 more source

Moufang Quasigroups

Journal of Algebra, 1996
It is well known that the following four Moufang identities, M1: \((x(yz))x=(xy)(zx)\) and N1: \(((xy)z)y=x(y(zy))\) and their respective mirrors M2 and N2 (obtained by writing them backwards), are equivalent in loops which are then called Moufang loops. The author now shows that every quasigroup satisfying any one of these four identities is a Moufang
openaire   +2 more sources

Napoleon’s quasigroups

Mathematica Slovaca, 2011
Abstract Napoleon’s quasigroups are idempotent medial quasigroups satisfying the identity (ab·b)(b·ba) = b. In works by V. Volenec geometric terminology has been introduced in medial quasigroups, enabling proofs of many theorems of plane geometry to be carried out by formal calculations in a quasigroup.
openaire   +3 more sources

Inverse Properties in Neutrosophic Triplet Loop and Their Application to Cryptography

Algorithms, 2018
This paper is the first study of the neutrosophic triplet loop (NTL) which was originally introduced by Floretin Smarandache. NTL originated from the neutrosophic triplet set X: a collection of triplets ( x , n e u t ( x ) , a n t i ( x ) ) for ...
Temitope Gbolahan Jaiyeola, Florentin Smarandache   +1 more
doaj   +1 more source

Commuting Pairs in Quasigroups

Journal of Combinatorial Designs, Volume 33, Issue 11, Page 418-427, November 2025.
ABSTRACT A quasigroup is a pair ( Q , ∗ ), where Q is a nonempty set and ∗ is a binary operation on Q such that for every ( a , b ) ∈ Q 2, there exists a unique ( x , y ) ∈ Q 2 such that a ∗ x = b = y ∗ a. Let ( Q , ∗ ) be a quasigroup. A pair ( x , y ) ∈ Q 2 is a commuting pair of ( Q , ∗ ) if x ∗ y = y ∗ x.
Jack Allsop, Ian M. Wanless
wiley   +1 more source

Hopf Quasigroup Galois Extensions and a Morita Equivalence

Mathematics, 2023
For H, a Hopf coquasigroup, and A, a left quasi-H-module algebra, we show that the smash product A#H is linked to the algebra of H invariants AH by a Morita context.
Huaiwen Guo, Shuanhong Wang
doaj   +1 more source

Canonical Labeling of Latin Squares in Average‐Case Polynomial Time

Random Structures &Algorithms, Volume 66, Issue 4, July 2025.
ABSTRACT A Latin square of order n$$ n $$ is an n×n$$ n\times n $$ matrix in which each row and column contains each of n$$ n $$ symbols exactly once. For ε>0$$ \varepsilon >0 $$, we show that with high probability a uniformly random Latin square of order n$$ n $$ has no proper subsquare of order larger than n1/2log1/2+εn$$ {n}^{1/2}{\log}^{1/2 ...
Michael J. Gill, Adam Mammoliti, Ian M. Wanless   +2 more
wiley   +1 more source

On methods of constructing AD-quasigroups

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
We research T-quasigroups with AD identity and Schweitzer identity. The necessary and sufficient condition has been determined that in the T-quasigroup G of the form x • y=ϕ(x)+ψ(y), AD identity and the Schweitzer identity are true.
Liubomir Chiriac, Natalia Josu, Natalia Lupashco   +2 more
doaj   +1 more source