Results 11 to 20 of about 128 (94)
Derived categories of hearts on Kuznetsov components
Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2146-2174, December 2023., 2023 Abstract We prove a general criterion that guarantees that an admissible subcategory K$\mathcal {K}$ of the derived category of an abelian category is equivalent to the bounded derived category of the heart of a bounded t‐structure. As a consequence, we show that K$\mathcal {K}$ has a strongly unique dg enhancement, applying the recent results of ...
Chunyi Li, Laura Pertusi, Xiaolei Zhao
wiley +1 more source
Proceedings of the London Mathematical Society, Volume 127, Issue 5, Page 1451-1506, November 2023., 2023 Abstract We establish a formula for the L‐theory spectrum of real C∗$C^*$‐algebras from which we deduce a presentation of the L‐groups in terms of the topological K‐groups, extending all previously known results of this kind. Along the way, we extend the integral comparison map τ:k→L$\tau \colon \mathrm{k}\rightarrow \mathrm{L}$ obtained in previous ...
Markus Land +2 more
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Stability conditions on Kuznetsov components of Gushel–Mukai threefolds and Serre functor
Mathematische Nachrichten, Volume 296, Issue 7, Page 2975-3002, July 2023., 2023 Abstract We show that the stability conditions on the Kuznetsov component of a Gushel–Mukai threefold, constructed by Bayer, Lahoz, Macrì and Stellari, are preserved by the Serre functor, up to the action of the universal cover of GL2+(R)$\text{GL}^+_2(\operatorname{\mathbb {R}})$.
Laura Pertusi, Ethan Robinett
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Commuting varieties and cohomological complexity theory
Journal of the London Mathematical Society, Volume 106, Issue 4, Page 2847-2883, December 2022., 2022 Abstract In this paper we determine, for all r$r$ sufficiently large, the irreducible component(s) of maximal dimension of the variety of commuting r$r$‐tuples of nilpotent elements of gln$\mathfrak {gl}_n$. Our main result is that in characteristic ≠2,3$\ne 2,3$, this nilpotent commuting variety has dimension (r+1)⌊n24⌋$(r+1)\lfloor \frac{n^2}{4 ...
Paul D. Levy, Nham V. Ngo, Klemen Šivic
wiley +1 more source
Extension of the fuzzy dominance-based rough set approach using ordered weighted average operators [PDF]
, 2019 In the article we rst review some known results on fuzzy versions of the dominance-based rough set approach (DRSA) where we expand the theory considering additional properties. Also, we apply Ordinal Weighted Average (OWA) operators in fuzzy DRSA.
Cornelis, Chris +3 more
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Fuzzy-Rough Intrigued Harmonic Discrepancy Clustering [PDF]
, 2023 Fuzzy clustering decomposes data into clusters using partial memberships by exploring the cluster structure information, which demonstrates the comparable performance for knowledge exploitation under the circumstance of information incompleteness.
Chao, Fei +6 more
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Negation and Involutive Adjunction
, 2005 This note analyzes in terms of categorial proof theory some standard assumptions about negation in the absence of any other connective. It is shown that the assumptions for an involutive negation, like classical negation, make a kind of adjoint situation, which is named involutive adjunction.
Dosen, K., Petric, Z.
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Fuzzy covering based rough sets revisited [PDF]
, 2015 In this paper we review four fuzzy extensions of the so-called tight pair of covering based rough set approximation operators. Furthermore, we propose two new extensions of the tight pair: for the first model, we apply the technique of representation by ...
Cornelis, Chris +2 more
core +3 more sources
Residuated logics based on strict triangular norms with an involutive negation
Mathematical Logic Quarterly, 2006 AbstractIn general, there is only one fuzzy logic in which the standard interpretation of the strong conjunction is a strict triangular norm, namely, the product logic. We study several equations which are satisfied by some strict t‐norms and their dual t‐conorms. Adding an involutive negation, these equations allow us to generate countably many logics
Cintula, P. (Petr) +3 more
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A FIXED POINT APPROACH TO THE STABILITY OF GENERAL QUADRATIC EULER-LAGRANGE FUNCTIONAL EQUATIONS IN INTUITIONISTIC FUZZY SPACES [PDF]
, 2016 In this paper, we prove the generalized Hyers-Ulam stability of a general k-quadratic Euler-Lagrange functional equation:for any fixed positive integer in intuitionistic fuzzy normed spaces using a fixed point ...
Kim, Ga Ya, Kim, Seong Sik
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