Let (Formula presented.) be a modular category of Frobenius-Perron dimension dqn, where q > 2 is a prime number and d is a square-free integer. We show that (Formula presented.) must be integral and nilpotent and therefore ...

We construct a bijection between split torsion pairs in the module category of a tilted algebra having a complete slice in the preinjective component with corresponding t-structures. We also classify split t-structures in ...

The use of indexing languages mediates accurately between document and user vocabularies during information retrieval. Nevertheless, it should be updated accordingly to the generation and innovation fo new knowledge. ...

We show that if A is an abelian category satisfying certain mild conditions, then one can introduce the concept of a moduli space of (semi)stable objects which has the structure of a projective algebraic variety. This idea ...

A continuidade categorial é uma propriedade indiscutível da linguagem para a tradição funcionalista, que a trata como um verdadeiro universal linguístico. Além de buscar evidência sistemática para a comprovação desse axioma, ...

Analogies between cases with matching sets of connected relational structure is well-explained by existing theory. Re-representation is posited as an important mechanism to increase the flexibility of analogical processing ...

Recent work by the authors equips Petri occurrence nets (PN) with probability distributions which fully replace nondeterminism. To avoid the so-called confusion problem, the construction imposes additional causal dependencies ...

We prove some results on the structure of certain classes of integral fusion categories and semisimple Hopf algebras under restrictions on the set of their irreducible degrees.