Results 11 to 20 of about 4,480 (224)

An Embedding of an Ordered Groupoid into an le-Groupoid

open access: yesSemigroup Forum, 2006
In this paper we prove that each ordered groupoid (resp. semigroup) S embeds in a complete distributive le-groupoid (resp. le-semigroup) using the ordered groupoid (resp. semigroup) arising from S by the adjunction of a zero element.
Kehayopulu, N., Pasku, E., Tsingelis, M.
openaire   +3 more sources

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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 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.
Qaiser Mushtaq, M. S. Kamran
doaj   +2 more sources

L-threo-D-galacto-Octitol: a curious non-classical order-disorder polytype with an 88 Å axis. [PDF]

open access: yesActa Crystallogr B Struct Sci Cryst Eng Mater
The sugar alcohol l‐threo‐d‐galacto‐octitol crystallizes in a structure with P43212 pseudo‐symmetry and a highly elongated unit cell (c ≈ 88 Å). In distinct layers of the structure, symmetry is broken by an asymmetric hydrogen‐bonding network leading to polytypism, which is discussed in the framework of order–disorder theory.GalC8 [l‐threo‐d‐galacto ...
Biedermann N   +5 more
europepmc   +2 more sources

Glass bead games: enumeration of possible polytypes based on two stacking vectors and applications to the iron-ore sinter phases SFCA and SFCA-I. [PDF]

open access: yesActa Crystallogr A Found Adv
General formulas are presented that allow for the enumeration of polytypes based on translationally equivalent layers and two equivalent arrangements of adjacent layers involving distinct possible stacking vectors, t1 and t2. The results have been applied to the polytypism among two different polysomes of the family of so‐called silico‐ferrites of ...
Salzmann MF   +3 more
europepmc   +2 more sources

Topological aspect of monodromy groupoid for a group-groupoid

open access: yesFilomat, 2019
In this paper we develop star topological and topological group-groupoid structures of monodromy groupoid and prove that the monodromy groupoid of a topological group-groupoid is also a topological group-groupoid.
MUCUK, OSMAN, Demir, Serap
openaire   +6 more sources

Holonomy, extendibility, and the star universal cover of a topological groupoid [PDF]

open access: yesApplied General Topology, 2003
Let G be a groupoid and W be a subset of G which contains all the identities and has a topology. With some conditions on G and W, the pair (G;W) is called a locally topological groupoid.
Osman Mucuk, Ilhan Icen
doaj   +2 more sources

The groupoid structure of groupoid morphisms [PDF]

open access: yesJournal of Geometry and Physics, 2019
28 pages; Final version, to appear in JGP; An appendix is added to discuss the topology of the morphism groupoid; Title ...
Bohui Chen, Cheng-Yong Du, Rui Wang
openaire   +3 more sources

Antiassociative groupoids [PDF]

open access: yesMATHEMATICA BOHEMICA, 2016
Given a groupoid $< G, \star >$, and $k \geq 3$, we say that $G$ is antiassociative iff for all $x_1, x_2, x_3 \in G$, $(x_1 \star x_2) \star x_3$ and $x_1 \star (x_2 \star x_3)$ are never equal. Generalizing this, $< G, \star >$ is $k$-antiassociative iff for all $x_1, x_2, ...
Milton Braitt   +2 more
openaire   +4 more sources

Motion Groupoids and Mapping Class Groupoids

open access: yesCommunications in Mathematical Physics, 2023
AbstractHere $${\underline{M}}$$ M ̲ denotes a pair (M, A) of a manifold and a subset (e.g. $$A=\partial M$$ A = ∂ M or $$A=\
Fiona Torzewska   +2 more
openaire   +6 more sources

Lattices of Smarandache Groupoid [PDF]

open access: yes, 2006
Smarandache groupoid is not partly ordered under Smarandache inclusion relation but it contains some partly ordered sets, which are lattices under Smarandache union and intersection.
Talukdar, Dwiraj
core   +1 more source

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