Výsledky vyhledávání - "20M50, 18G50"

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A Survey of Schreier-Type Extensions of Monoids

Autor: Faul, P. F.

We give an overview of a number of Schreier-type extensions of monoids and discuss the relation between them. We begin by discussing the characterisations of split extensions of groups, extensions of groups with abelian kernel and finally non-abelian

Externí odkaz: http://arxiv.org/abs/2102.12934

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Quotients of monoid extensions and their interplay with Baer sums

Autor: Faul, Peter, Manuell, Graham

Publikováno v: J. Algebra, 574:550-570, 2021

Cosetal extensions of monoids generalise extensions of groups, special Schreier extensions of monoids and Leech's normal extensions of groups by monoids. They share a number of properties with group extensions, including a notion of Baer sum when the

Externí odkaz: http://arxiv.org/abs/2006.10537

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$\lambda$-Semidirect Products of Inverse Monoids are Weakly Schreier Extensions

Autor: Faul, Peter

A split extension of monoids with kernel k: N -> G, cokernel e: G -> H and splitting s: H -> G is weakly Schreier if each element g in G can be written g = k(n)se(g) for some n in N. The characterization of weakly Schreier extensions allows them to b

Externí odkaz: http://arxiv.org/abs/2005.02508

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A characterization of weakly Schreier extensions of monoids

Autor: Faul, P. F.

A split extension of monoids with kernel $k \colon N \to G$, cokernel $e \colon G \to H$ and splitting $s \colon H \to G$ is Schreier if there exists a unique set-theoretic map $q \colon G \to N$ such that for all $g \in G$, $g = kq(g) \cdot se(g)$.

Externí odkaz: http://arxiv.org/abs/1911.02630

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Structure and classification of monoidal groupoids

Autor: Calvo, María, Cegarra, Antonio M., Heredia, Benjamín A.

The structure of monoidal categories in which every arrow is invertible is analyzed in this paper, where we develop a 3-dimensional Schreier-Grothendieck theory of non-abelian factor sets for their classification. In particular, we state and prove pr

Externí odkaz: http://arxiv.org/abs/1209.2847

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Localizations, colocalizations and non additive *-objects

Autor: Modoi, George Ciprian

Given a pair of adjoint functors between two arbitrary categories it induces mutually inverse equivalences between the full subcategories of the initial ones, consisting of objects for which the arrows of adjunction are isomorphisms. We investigate s

Externí odkaz: http://arxiv.org/abs/0910.3978

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