Displaying 141 – 160 of 164

Showing per page

Extensional subobjects in categories of Ω -fuzzy sets

Jiří Močkoř (2007)

Czechoslovak Mathematical Journal

Two categories 𝕊𝕖𝕥 ( Ω ) and 𝕊𝕖𝕥𝔽 ( Ω ) of fuzzy sets over an M V -algebra Ω are investigated. Full subcategories of these categories are introduced consisting of objects ( s u b ( A , δ ) , σ ) , where s u b ( A , δ ) is a subset of all extensional subobjects of an object ( A , δ ) . It is proved that all these subcategories are quasi-reflective subcategories in the corresponding categories.

Extensions centrales d'algèbres de Lie

Christian Kassel, Jean-Louis Loday (1982)

Annales de l'institut Fourier

Soient k un anneau commutatif et A une k -algèbre associative quelconque. Nous calculons le groupe d’homologie H 2 ( 𝔰 l n ( A ) , k ) de la k -algèbre de Lie 𝔰 l n ( A ) des matrices de “trace nulle” sur A . Le groupe ainsi déterminé est un groupe d’homologie d’un complexe inspiré d’A. Connes; il est isomorphe à Ω A / k 1 / d A lorsque A est commutative. Nous obtenons également des résultats pour un groupe d’homologie relative associé à une surjection de k -algèbres. Les démonstrations utilisent la classification des extensions centrales et des...

Extensions of covariantly finite subcategories revisited

Jing He (2019)

Czechoslovak Mathematical Journal

Extriangulated categories were introduced by Nakaoka and Palu by extracting the similarities between exact categories and triangulated categories. A notion of homotopy cartesian square in an extriangulated category is defined in this article. We prove that in an extriangulated category with enough projective objects, the extension subcategory of two covariantly finite subcategories is covariantly finite. As an application, we give a simultaneous generalization of a result of X. W. Chen (2009) and...

Currently displaying 141 – 160 of 164