Results 21 to 30 of about 145 (40)

Finite AG-groupoid with left identity and left zero [PDF]

, 2001
A groupoid G whose elements satisfy the left invertive law: (ab)c=(cb)a is known as Abel-Grassman's groupoid (AG-groupoid). It is a nonassociative algebraic structure midway between a groupoid and a commutative semigroup.
M. S. Kamran, Qaiser Mushtaq
core   +2 more sources

Linear Approximate Groups

, 2010
This is an informal announcement of results to be described and proved in detail in a paper to appear. We give various results on the structure of approximate subgroups in linear groups such as $\SL_n(k)$.
Breuillard, Emmanuel, Green, Ben, Tao, Terence   +2 more
core   +1 more source

Constructing biquandles

, 2019
We define biquandle structures on a given quandle, and show that any biquandle is given by some biquandle structure on its underlying quandle. By determining when two biquandle structures yield isomorphic biquandles, we obtain a relationship between the ...
Horvat, Eva
core   +2 more sources

Linear Diophantine fuzzy sets over complex fuzzy information with applications in information theory

Ain Shams Engineering Journal
This article aims to link AG-groupoids and complex fuzzy set theory by constructing a method to rank complex fuzzy information, provide an alternative definition of CLDFS, and an algorithm for data encryption/decryption using AG-groupoids.
Faisal Yousafzai, Muhammad Danish Zia, Murad-ul-Islam Khan, Mohammed. M. Khalaf, Rashad Ismail   +4 more
doaj   +1 more source

Closed approximate subgroups: compactness, amenability and approximate lattices

Forum of Mathematics, Sigma
We investigate properties of closed approximate subgroups of locally compact groups, with a particular interest for approximate lattices (i.e., those approximate subgroups that are discrete and have finite co-volume).
Simon Machado
doaj   +1 more source

Approximate subgroups of linear groups

, 2010
We establish various results on the structure of approximate subgroups in linear groups such as SL_n(k) that were previously announced by the authors. For example, generalising a result of Helfgott (who handled the cases n = 2 and 3), we show that any ...
Breuillard, Emmanuel, Green, Ben, Tao, Terence   +2 more
core   +1 more source

Note on quasivarieties generated by finite pointed abelian groups

Open Mathematics
We prove that a finite pointed abelian group generates a finitely axiomatizable variety that has a finite quasivariety lattice. As a consequence, we obtain that a quasivariety generated by a finite pointed abelian group has a finite basis of quasi ...
Basheyeva Ainur, Lutsak Svetlana
doaj   +1 more source

Stacky Lie groups

, 2007
Presentations of smooth symmetry groups of differentiable stacks are studied within the framework of the weak 2-category of Lie groupoids, smooth principal bibundles, and smooth biequivariant maps.
Baez, Behrend, Behrend, Blohmann, Blohmann, Blohmann, Borceux, Breen, Brown, Christian Blohmann, Crainic, Deligne, Freed, Giraud, Heinloth, Hilsum, Joyal, Kuperberg, Landsman, Landsman, Lupercio, Lurie, Metzler, Moerdijk, Moerdijk, Mrcun, Mrčun, Noohi, Pradines, Tang, Tseng, Tu, Zhu, Zhu   +33 more
core   +4 more sources

THE HYPERBOLIC MENELAUS THEOREM IN THE POINCARE DISC MODEL OF HYPERBOLIC GEOMETRY [PDF]

, 2013
In this note, we present the hyperbolic Menelaus theorem in the Poincar´e disc of hyperbolic ...
Barbu, Catalin, Smarandache, Florentin
core   +1 more source

A prismatic classifying space

, 2018
A qualgebra $G$ is a set having two binary operations that satisfy compatibility conditions which are modeled upon a group under conjugation and multiplication. We develop a homology theory for qualgebras and describe a classifying space for it.
Carter, J. Scott, Lebed, Victoria, Yang, Seung Yeop   +2 more
core