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We construct, for any algebra L for an many-sorted infinitary algebraic theory T , a concrete geometrical category Geo ( L ) , the so-called classifying concrete geometrical category

Recall (Saavedra Rivano 1972, III 2.2.2) that a gerbe is said to be tannakian if its band is locally defined by an affine group scheme... Every gerbe whose band is tannakian arises

We then prove embedding theorems: any locally small pre-Hilbert category whose monoidal unit is a simple generator embeds (weakly) monoidally into the category of pre-Hilbert spaces

Here we consider a category of M¨obius intervals and construct the Hopf algebra via the objective approach applied to a monoidal extensive category of combinatorial objects, with

A complex Pisot number is a non-real algebraic inte- ger of modulus > 1 whose conjugates except its complex conjugate are of.. Manuscrit re¸cu le 5

What Koslowski actually proves is that if you begin with a biclosed monoidal category there is a biclosed monoidal bicategory whose objects are the algebra objects in the

We show that every algebraically–central extension in a Mal’tsev variety — that is, every surjective homomorphism f : A −→ B whose kernel–congruence is contained in the centre

Recall [3] that a category is said to be locally distributive if it is distributive and every slice category is distributive, and lextensive if it is extensive and has finite