Results 51 to 60 of about 167 (143)
Zagadnienia Filozoficzne w Nauce, 2012 The mathematical and cosmological works of a group associated with the Copernicus Center for Interdisciplinary Studies in Cracow are summarized. The group consists mainly of M. Heller, L. Pysiak, W. Sasin, Z. Odrzygóźdź and J. Gruszczak.
Michał Heller
doaj
A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper develops the theory of function‐weighted probabilistic metric spaces (FWPMSs) and establishes the existence of common fixed points (CFPs) for commutative mappings within this framework. A key lemma is also introduced to bridge the connection between CFPs and common n‐tuples fixed points.
Ehsan Lotfali Ghasab +3 more
wiley +1 more source
Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley +1 more source
Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source
Application of Noncommutative Differential Geometry on Lattice to Anomaly
, 1999 The chiral anomaly in lattice abelian gauge theory is investigated by applying the geometric and topological method in noncommutative differential geometry(NCDG). A new kind of double complex and descent equation are proposed on infinite hypercubic lattice in arbitrary even dimensional Euclidean space, in the framework of NCDG.
Fujiwara, Takanori +2 more
openaire +2 more sources
Noncommutative differential geometry, and the matrix representations of generalised algebras [PDF]
Journal of Geometry and Physics, 1998 16 pages Latex, No figures.
openaire +3 more sources
Integrated differential geometry. Commutative and noncommutative
, 1994 Plain tex, 35 ...
openaire +2 more sources
Noncommutative differential geometry on crossed product algebras
Journal of AlgebraWe provide a differential structure on arbitrary cleft extensions $B:=A^{\mathrm{co}H}\subseteq A$ for an $H$-comodule algebra $A$. This is achieved by constructing a covariant calculus on the corresponding crossed product algebra $B\#_σH$ from the data of a bicovariant calculus on the structure Hopf algebra $H$ and a calculus on the base algebra $B ...
Andrea Sciandra, Thomas Weber
openaire +4 more sources
On the notion of a differential operator in noncommutative geometry
, 2003 The algebraic notion of a differential operator on a module over a commutative ring is not extended to a module over a noncommutative ring.
openaire +2 more sources