Lattice-valued overlap and quasi-overlap functions
As an important class of aggregation operators, the notion of overlap functions was first
presented in 2009 in order to be considered for applications in image processing context …
presented in 2009 in order to be considered for applications in image processing context …
Stratification in tensor triangular geometry with applications to spectral Mackey functors
We systematically develop a theory of stratification in the context of tensor triangular
geometry and apply it to classify the localizing tensor-ideals of certain categories of spectral …
geometry and apply it to classify the localizing tensor-ideals of certain categories of spectral …
Cosupport in tensor triangular geometry
We develop a theory of cosupport and costratification in tensor triangular geometry. We
study the geometric relationship between support and cosupport, provide a conceptual …
study the geometric relationship between support and cosupport, provide a conceptual …
Residuated implications derived from quasi-overlap functions on lattices
Recently, Paiva et al. generalized the notion of overlap functions in the context of lattices
and introduced a weaker definition, called quasi-overlap, that originates from the removal of …
and introduced a weaker definition, called quasi-overlap, that originates from the removal of …
Topological duality for distributive lattices, and applications
M Gehrke, S van Gool - 2022 - hal.science
This material will be published by Cambridge University Press as" Topological Duality for
Distributive Lattices: Theory and Applications" by Mai Gehrke and Sam van Gool. This pre …
Distributive Lattices: Theory and Applications" by Mai Gehrke and Sam van Gool. This pre …
Big categories, big spectra
S Balchin, G Stevenson - arXiv preprint arXiv:2109.11934, 2021 - arxiv.org
We introduce a new topological invariant of a rigidly-compactly generated tensor-
triangulated category and two new notions of support. The first is based on smashing …
triangulated category and two new notions of support. The first is based on smashing …
Descent in tensor triangular geometry
T Barthel, N Castellana, D Heard, N Naumann… - arXiv preprint arXiv …, 2023 - arxiv.org
We investigate to what extent we can descend the classification of localizing, smashing and
thick ideals in a presentably symmetric monoidal stable $\infty $-category $\mathscr {C} …
thick ideals in a presentably symmetric monoidal stable $\infty $-category $\mathscr {C} …
The hull-kernel topology on prime filters in residuated lattices
S Rasouli, A Dehghani - Soft Computing, 2021 - Springer
The notion of the (dual) hull-kernel topology on a collection of prime filters in a residuated
lattice is introduced and investigated. It is observed that any collection of prime filters is a T 0 …
lattice is introduced and investigated. It is observed that any collection of prime filters is a T 0 …
[图书][B] Topological duality for distributive lattices: theory and applications
M Gehrke, S Van Gool - 2024 - books.google.com
Introducing Stone-Priestley duality theory and its applications to logic and theoretical
computer science, this book equips graduate students and researchers with the theoretical …
computer science, this book equips graduate students and researchers with the theoretical …
Ideal spaces: An extension of structure spaces of rings
Can there be a structure space-type theory for an arbitrary class of ideals of a ring? The
ideal spaces introduced in this paper allows such a study and our theory includes (but not …
ideal spaces introduced in this paper allows such a study and our theory includes (but not …