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THE MONOIDAL STRUCTURE OF STRICTIFICATION
, 2013
"... We study the monoidal structure of the standard strictification functor st: Bicat → 2Cat. In doing so, we construct monoidal structures on the 2category whose objects are bicategories and on the 2category whose objects are 2categories. ..."
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We study the monoidal structure of the standard strictification functor st: Bicat → 2Cat. In doing so, we construct monoidal structures on the 2category whose objects are bicategories and on the 2category whose objects are 2categories.
Twisting of monoidal structures
, 2008
"... This article is devoted to the investigation of the deformation (twisting) of monoidal structures, such as the associativity constraint of the monoidal category and the monoidal structure of monoidal functor. The sets of twistings have a (nonabelian) c ohomological nature. Using this fact the maps ..."
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Cited by 7 (1 self)
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This article is devoted to the investigation of the deformation (twisting) of monoidal structures, such as the associativity constraint of the monoidal category and the monoidal structure of monoidal functor. The sets of twistings have a (nonabelian) c ohomological nature. Using this fact the maps
Closed symmetric monoidal structure and flow
, 2003
"... The category of flows is not cartesian closed. We construct a closed symmetric monoidal structure which has moreover a satisfactory behavior from the computer scientific ..."
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The category of flows is not cartesian closed. We construct a closed symmetric monoidal structure which has moreover a satisfactory behavior from the computer scientific
Nets Enriched over Closed Monoidal Structures
"... Abstract. We show how the firing rule of Petri nets relies on a residuation operation for the commutative monoid of natural numbers. On that basis we introduce closed monoidal structures which are residuated monoids. We identify a class of closed monoidal structures (associated with a family of idem ..."
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Cited by 1 (1 self)
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Abstract. We show how the firing rule of Petri nets relies on a residuation operation for the commutative monoid of natural numbers. On that basis we introduce closed monoidal structures which are residuated monoids. We identify a class of closed monoidal structures (associated with a family
On the monoidal structure of matrix bifactorisations
, 2009
"... We investigate tensor products of matrix factorisations. This is most naturally done by formulating matrix factorisations in terms of bimodules instead of modules. If the underlying ring is�[x1,...,xN] we show that bimodule matrix factorisations form a monoidal category. This monoidal category has a ..."
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Cited by 14 (5 self)
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We investigate tensor products of matrix factorisations. This is most naturally done by formulating matrix factorisations in terms of bimodules instead of modules. If the underlying ring is�[x1,...,xN] we show that bimodule matrix factorisations form a monoidal category. This monoidal category has
Symmetric monoidal structure on Noncommutative motives
, 2010
"... In this article we further the study of noncommutative motives, initiated in [11, 42]. Our main result is the construction of a symmetric monoidal structure on the localizing motivator Motloc dg of dg categories. As an application, we obtain: (1) a computation of the spectra of morphisms in Motloc ..."
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Cited by 21 (10 self)
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In this article we further the study of noncommutative motives, initiated in [11, 42]. Our main result is the construction of a symmetric monoidal structure on the localizing motivator Motloc dg of dg categories. As an application, we obtain: (1) a computation of the spectra of morphisms
A complete lattice admitting no comonoid structure
, 2006
"... In this paper we show that M3, the fiveelement modular nondistributive lattice, does not admit a comonoid structure in the category of complete lattices and joinpreserving maps, equipped with the natural tensor product; this is surprising because it does admit several comonoid structures when t ..."
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In this paper we show that M3, the fiveelement modular nondistributive lattice, does not admit a comonoid structure in the category of complete lattices and joinpreserving maps, equipped with the natural tensor product; this is surprising because it does admit several comonoid structures when
Additive closed symmetric monoidal structures on Rmodules
"... In this paper, we classify additive closed symmetric monoidal structures on the category of left Rmodules by using Watts ’ theorem. An additive closed symmetric monoidal structure is equivalent to an Rmodule ΛA,B equipped with two commuting right Rmodule structures represented by the symbols A an ..."
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In this paper, we classify additive closed symmetric monoidal structures on the category of left Rmodules by using Watts ’ theorem. An additive closed symmetric monoidal structure is equivalent to an Rmodule ΛA,B equipped with two commuting right Rmodule structures represented by the symbols A
When Does a Category Built on a Lattice with a Monoidal Structure have a Monoidal Structure?
, 2010
"... In a word, sometimes. And it gets harder if the structure on L is not commutative. In this paper we consider the question of what properties are needed on the lattice L equipped with an operation * for several different kinds of categories built using Sets and L to have monoidal and monoidal closed ..."
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Cited by 1 (1 self)
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In a word, sometimes. And it gets harder if the structure on L is not commutative. In this paper we consider the question of what properties are needed on the lattice L equipped with an operation * for several different kinds of categories built using Sets and L to have monoidal and monoidal closed
Results 1  10
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858