Results 11 to 20 of about 240,417 (285)
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc +2 more sources
Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras [PDF]
, 2002 The algebraic and geometric structures of deformations are analyzed concerning topological field theories of Schwarz type by means of the Batalin-Vilkovisky formalism.
A. Schwarz +26 more
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Topological Indices of Total Graph and Zero Divisor Graph of Commutative Ring: A Polynomial Approach
Complexity, 2023 The algebraic polynomial plays a significant role in mathematical chemistry to compute the exact expressions of distance-based, degree-distance-based, and degree-based topological indices.
Sourav Mondal +3 more
doaj +1 more source
Cyclic structures in algebraic (co)homology theories [PDF]
Homology, Homotopy and Applications, 2011 This note discusses the cyclic cohomology of a left Hopf algebroid ($\times_A$-Hopf algebra) with coefficients in a right module-left comodule, defined using a straightforward generalisation of the original operators given by Connes and Moscovici for Hopf algebras. Lie-Rinehart homology is a special case of this theory.
Kowalzig N., Krahmer U.
openaire +7 more sources
Tractable Combinations of Temporal CSPs [PDF]
Logical Methods in Computer Science, 2022 The constraint satisfaction problem (CSP) of a first-order theory T is the computational problem of deciding whether a given conjunction of atomic formulas is satisfiable in some model of T.
Manuel Bodirsky +2 more
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Kodaira-Spencer deformation of complex structures and Lagrangian field theory [PDF]
, 1998 In complete analogy with the Beltrami parametrization of complex structures on a (compact) Riemann surface, we use in this paper the Kodaira-Spencer deformation theory of complex structures on a (compact) complex manifold of higher dimension.
Giuseppe Bandelloni +2 more
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Fuzzy Soft Sets and Fuzzy Soft Lattices [PDF]
International Journal of Computational Intelligence Systems, 2012 The theory of soft sets was introduced by Molodtsov in 1999 in order to deal with uncertainties. In this paper, the notion of fuzzy soft lattice is defined and some related properties are derived, which extends the notion of a fuzzy lattice to include ...
Yingchao Shao, Keyun Qin
doaj +1 more source
Vertex operator algebras and operads [PDF]
, 1993 Vertex operator algebras are mathematically rigorous objects corresponding to chiral algebras in conformal field theory. Operads are mathematical devices to describe operations, that is, $n$-ary operations for all $n$ greater than or equal to $0$, not ...
AA Belavin +12 more
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Neutrosophic Multigroups and Applications
Mathematics, 2019 In recent years, fuzzy multisets and neutrosophic sets have become a subject of great interest for researchers and have been widely applied to algebraic structures include groups, rings, fields and lattices.
Derya Bakbak +2 more
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Spacetime-Free Approach to Quantum Theory and Effective Spacetime Structure [PDF]
, 2017 Motivated by hints of the effective emergent nature of spacetime structure, we formulate a spacetime-free algebraic framework for quantum theory, in which no a priori background geometric structure is required.
Raasakka, Matti
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