monoidal categories
Hopf Cyclic Cohomology in Non symmetric Monoidal Categories
... Abstract First, referring to our previous work, “Hopf cyclic cohomology in braided monoidal categories”, we reduce the restriction of the ambient category C being symmetric. We let C to be non-symmetric but ...
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Ligon, Thomas S. (1978): Galois theory in monoidal categories. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... With help of the Morita theory of Pareigis (cited in Chapter 1), it is possible to generalize the work of Chase and Sweedler [11] to arbitrary symmetrical, closed monoidal categories (Chapters 2 and 4). For ...
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On the equivalence between Lurie's model and the dendroidal model for infinity-operads
... symmetric monoidal category as a (pseudo-)functor (satisfying some conditions) from the category of finite pointed sets to the the category of small ...symmetric monoidal categories in the same ...
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Functorial Models for Petri Nets
... symmetric monoidal categories and categories that are symmetric only up to coherent ...a monoidal natural isomorphism (remember that Q is only pseudo-functorial) and the lower commuting square ...
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An Axiomatization of the Category of Petri Net Computations
... the (unique up to isomorphism) process that inverts in its ‘output’ the order of the two ‘input’ tokens. This simple example illustrates that the role of the symmetries in process terms is that of regulating the flow of ...
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Algebraic Models for Contextual Nets
... the monoidal categories ...symmetric categories, we choose (non symmetric) monoidal categories to which we adjoin exactly and only the symmetries we ...the monoidal operation, ...
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Representation Theorems for Petri Nets
... Strongly concatenable processes are a slight refinement of concatenable processes introduced in [15, 17] to yield a functorial algebraic description of net computations. The refinement, which consists simply of ...
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Nonassociative geometry in quasi Hopf representation categories I: bimodules and their internal homomorphisms
... braided monoidal categories, see ...their categories are completely different from ours, and moreover their algebras have the physically undesirable feature that the classical limit only coincides ...
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Relative pseudomonads, Kleisli bicategories, and substitution monoidal structures
... of categories equipped with algebraic structure, often via forms of Day’s convolution monoidal structure ...object, categories with finite products, categories with finite limits, ...
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On the Semantics of Place/Transition Petri Nets
... A unification of the process-oriented and algebraic viewpoints has recently been proposed in (Degano et al. 1989; see also the related Sassone 1996; Sassone 1995) by showing that the commutative processes (Best and ...
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A Taxonomy of Lexical Metadata Categories
... data categories used in terminological resources, ISO 12620:1999, Computer assisted terminology management ― Data ...data categories for a variety of applications, including for example terminological and ...
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Classifying Values by Categories
... Compared with the other researches, it can be seen that values such as religious, personal, national, universal, humanistic, social, and communal values are common, which shows t[r] ...
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Categories and logical syntax
... Aristotle’s categories are highest genera ...Kant’s categories, by contrast, are described as forms of thought ...formal categories synthesizes the doctrines of Aristotle and ...Aristotle’s ...
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Zeta functions in triangulated categories
... symmetric monoidal with monoidal product ∧, model and monoidal structures are compatible in the sense of [13], ...symmetric monoidal product ⊗ induced by the product ∧ in the category C , and ...
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Evolving Perceptual Categories
... perceptual categories accurately track real-world ...tual categories should not be assumed to accurately reflect real-world properties because, as he says, “Fitness, not accuracy, is the objective function ...
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MoL 2014 22: Categorical Foundations for Extended Compositional Distributional Models of Meaning
... In this section we consider linear distributive categories by enriching bi-clopen categories with in- teraction transformations. As the logics we consider are designed for linguistic analysis, we wish to ...
139
Categories of scientific theories
... semantic categories are equivalent (see Halvorson, 2012, ...their categories of S-models we can only recover a coherent propositional theory up to the cardinality of its ...
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Discrete triangulated categories
... (ii) Recall that a classical generator of a triangulated category D is an object G such that every object is obtained from G in finitely many steps by taking shifts, cones and summands. (There does not have to be a bound ...
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Atomical Grothendieck categories
... Motivated by the study of Gabriel dimension of a Grothendieck category, we intro- duce the concept of atomical Grothendieck category, which has only two localizing subcategories, and we give a classification of this type ...
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Monads need not be endofunctors
... over general sets of dimensions where a vector over an infinite set of dimensions may only have finitely many non-zero coordinates. However, it is worthwhile not to ignore the non- endofunctor case, because frequently ...
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