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In this paper we have discussed the ideals in Abel Grassmann's groupoids and construct their topologies.

Group Theory · Mathematics 2009-04-13 Qaiser Mushtaq , Madad Khan

The concept of a k-translatable groupoid is explored in depth. Some properties of idempotent k-translatable groupoids, left cancellative k-translatable groupoids and left unitary k-translatable groupoids are proved. Necessary and sufficient…

Rings and Algebras · Mathematics 2017-11-08 Wieslaw A. Dudek , Robert A. R. Monzo

In this paper we prove some results on the covering morphisms of internal groupoids. We also give a result on the coverings of the crossed modules of groups with operations.

Category Theory · Mathematics 2016-01-29 H. Fulya Akız , Nazmiye Alemdar , Osman Mucuk , Tunçar Şahan

The purpose of this short note was to outline the current status, then in 2011, of some research programs aiming at a categorification of parts of A.Connes' non-commutative geometry and to provide an outlook on some possible subsequent…

Operator Algebras · Mathematics 2015-06-22 Paolo Bertozzini , Roberto Conti , Wicharn Lewkeeratiyutkul

These lectures are envisioned to be an introductory, basic course in gravitational-wave physics.

General Relativity and Quantum Cosmology · Physics 2007-10-01 Alessandra Buonanno

We study the group of ends of a pro-p group G and prove a pro-p analog of Stallings' decomposition theorem.

Group Theory · Mathematics 2013-07-22 Kay Wingberg

The present paper is devoted to study some completeness properties of transitive binary relational set, i.e., a set together with a transitive binary relation (so called t-set).

Logic · Mathematics 2020-04-29 O. R. Sayed , N. H. Sayed

In this paper we show that Cartan geometries can be studied via transitive Lie groupoids endowed with a special kind of vector-valued multiplicative 1-forms. This viewpoint leads us to a more general notion, that of Cartan bundle, which…

Differential Geometry · Mathematics 2021-01-28 Francesco Cattafi

In this paper we introduce and study motives for rational homotopy types.

Algebraic Geometry · Mathematics 2017-07-14 Isamu Iwanari

We study $G$-equivariant birational geometry of toric varieties, where $G$ is a finite group.

Algebraic Geometry · Mathematics 2021-12-10 Andrew Kresch , Yuri Tschinkel

We give a brief overview of the theoretical status of the Transition Distribution Amplitudes and discuss their experimental near future.

High Energy Physics - Phenomenology · Physics 2017-08-23 J. P. Lansberg , B. Pire , L. Szymanowski

We study abelian subgroups of Galois groups of function fields.

Algebraic Geometry · Mathematics 2007-05-23 Fedor Bogomolov , Yuri Tschinkel

We will define and study (moduli) spaces of deformations of irregular classes on Riemann surfaces, which provide an intrinsic viewpoint on the `times' of irregular isomonodromy systems in general. Our aim is to study the deeper…

Algebraic Geometry · Mathematics 2025-04-21 Jean Douçot , Gabriele Rembado

We revisit the problem of integrating Lie algebroids $A\Rightarrow M$ to Lie groupoids $G\rightrightarrows M$, for the special case that the Lie algebroid $A$ is transitive. We obtain a geometric explanation of the Crainic-Fernandes…

Differential Geometry · Mathematics 2024-11-28 Eckhard Meinrenken

In this paper, we study connections between the structure of a group and the structure of the group (under pointwise product) of its polynomial functions.

Group Theory · Mathematics 2007-05-23 G. Endimioni

In this paper we construct two groupoids from morphisms of groupoids, with one from a categorical viewpoint and the other from a geometric viewpoint. We show that for each pair of groupoids, the two kinds of groupoids of morphisms are…

Category Theory · Mathematics 2019-08-16 Bohui Chen , Cheng-Yong Du , Rui Wang

A linear group G on a finite vector space V, (that is, a subgroup of GL(V)) is called (1/2)-transitive if all the G-orbits on the set of nonzero vectors have the same size. We complete the classification of all the (1/2)-transitive linear…

Group Theory · Mathematics 2014-12-15 Martin W. Liebeck , Cheryl E. Praeger , Jan Saxl

We prove that the action of the semigroup generated by a $C^r$ generic pair of area-preserving diffeomorphisms of a compact orientable surface is transitive.

Dynamical Systems · Mathematics 2011-08-30 Andres Koropecki , Meysam Nassiri

A transitive permutation group $G$ on a finite set $\Omega$ is said to be pre-primitive if every $G$-invariant partition of $\Omega$ is the orbit partition of a subgroup of $G$. It follows that pre-primitivity and quasiprimitivity are…

Group Theory · Mathematics 2023-09-20 Marina Anagnostopoulou-Merkouri , Peter J. Cameron , Enoch Suleiman

The purpose of this paper is to study singular holomorphic foliations of arbitrary codimension defined by logarithmic forms on projective spaces.

Complex Variables · Mathematics 2018-03-26 Dominique Cerveau , Alcides Lins Neto
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