Results 11 to 20 of about 4,480 (224)
An Embedding of an Ordered Groupoid into an le-Groupoid
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]
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]
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]
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
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
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Holonomy, extendibility, and the star universal cover of a topological groupoid [PDF]
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]
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
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Antiassociative groupoids [PDF]
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
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Motion Groupoids and Mapping Class Groupoids
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
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Lattices of Smarandache Groupoid [PDF]
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

