Zobrazeno 1 - 10
of 382
pro vyhledávání: '"18B40"'
We introduce partial semigroupoid actions on sets and demonstrate that each such action admits universal globalization. Our construction extends the universal globalization for partial category actions given by P. Nystedt (Lundstr\"om) and the tensor
Externí odkaz:
http://arxiv.org/abs/2412.14068
As we said in our previous work [4], the main idea of our research is to introduce a class of Lie groupoids by means of co-adjoint representation of a Lie groupoid on its isotropy Lie algebroid, which we called coadjoint Lie groupoids. In this paper,
Externí odkaz:
http://arxiv.org/abs/2411.16631
Autor:
Egner, Nadja, Gran, Marino
We prove that the category 2-$ \mathrm{Grpd}(\mathscr{C}) $ of internal $2$-groupoids is a Birkhoff subcategory of the category $ \mathrm{Grpd}^2(\mathscr{C}) $ of double groupoids in a regular Mal'tsev category $\mathscr{C}$ with finite colimits. In
Externí odkaz:
http://arxiv.org/abs/2411.06210
Autor:
Gutik, Oleg, Shchypel, Maksym
We study algebraic properties of the semigroup $\mathscr{O\!\!I\!}_n(L)$ of finite partial order isomorphisms of the rank $\leq n$ of an infinite linearly ordered set $(L,\leqslant)$. In particular we describe its idempotents, the natural partial ord
Externí odkaz:
http://arxiv.org/abs/2411.03268
Autor:
Kudryavtseva, Ganna
We extend the equivalence by Cockett and Garner between restriction monoids and ample categories to the biunary and non-unital setting of Boolean range semigroups which are non-unital one-object versions of range categories. We show that Boolean rang
Externí odkaz:
http://arxiv.org/abs/2410.22181
Autor:
Im, Mee Seong, Khovanov, Mikhail
The first part of the paper explains how to encode a one-cocycle and a two-cocycle on a group $G$ with values in its representation by networks of planar trivalent graphs with edges labelled by elements of $G$, elements of the representation floating
Externí odkaz:
http://arxiv.org/abs/2409.08462
Autor:
Ivan, Gheorghe
The purpose of this paper is to present a systematic exposition of the main results obtained in the studies carried out in groupoid theory. Key words and phrases: groupoid, topological groupoid, Lie groupoid, group-groupoid, vector space-groupoid.
Externí odkaz:
http://arxiv.org/abs/2408.00562
Autor:
Die, Yin, Wang, Shoufeng
In this paper we provide a theory of chain projection ordered categories and generalize that of chain projection ordered groupoids developed by East and Azeef Muhammed recently. By using chain projection ordered categories, we obtain a structure theo
Externí odkaz:
http://arxiv.org/abs/2407.11434
The purpose of this paper is to introduce a new family of semigroups - the free projection-generated regular $*$-semigroups - and initiate their systematic study. Such a semigroup $PG(P)$ is constructed from a projection algebra $P$, using the recent
Externí odkaz:
http://arxiv.org/abs/2406.09109
In this work we introduce partial and global actions of inverse categories on posets in two variants, fibred actions and actions by symmetries. We study in detail actions of an inverse category $\mathcal{C}$ on specific subposets of the poset of fini
Externí odkaz:
http://arxiv.org/abs/2405.13212