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BioFab Toolbox

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Further remarks on the "Smith is Huq" condition
Publication . Martins-Ferreira, Nelson; Van der Linden, Tim
We compare the Smith is Huq condition (SH) with three commutator conditions in semi-abelian categories: first an apparently weaker condition which arose in joint work with Bourn and turns out to be equivalent with (SH), then an apparently equivalent condition which takes commutation of non-normal subobjects into account and turns out to be stronger than (SH). This leads to the even stronger condition that weighted commutators in the sense of Gran, Janelidze and Ursini are independent of the chosen weight, which is known to be false for groups but turns out to be true in any two-nilpotent semi-abelian category.
2015-08Artigo científico Acesso restrito Ver mais
On Algebraic and More General Categories Whose Split Epimorphisms Have Underlying Product Projections
Publication . Gray, J. R. A.; Martins-Ferreira, Nelson
We characterize those varieties of universal algebras where every split epimorphism considered as a map of sets is a product projection. In addition we obtain new characterizations of semi-abelian, protomodular, unital and subtractive varieties as well as varieties of right Ω-loops and biternary systems.
2015-06Artigo científico Acesso restrito Ver mais
What is an ideal a zero-class of?
Publication . Martins-Ferreira, Nelson; Montoli, A.; Ursini, A.; Linden, T. Van der
We characterise, in pointed regular categories, the ideals as the zero-classes of surjective relations. Moreover, we study a variation of the Smith is Huq condition: two surjective left split relations commute as soon as their zero-classes commute.
2017-03Artigo científico Acesso aberto Ver mais

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Palavras-chave

bio-extrusion ,bio-fabrication,zigzag strategy,toolpath, Engineering and technology ,Engineering and technology/Materials engineering

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Entidade financiadora

Fundação para a Ciência e a Tecnologia, I.P.
Fundação para a Ciência e a Tecnologia, I.P.

Programa de financiamento

5876-PPCDTI
Concurso de Projectos de Investigação Científica e Desenvolvimento Tecnológico em todos os Domínios Científicos - 2010

Número da atribuição

PTDC/EME-CRO/120585/2010

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