Results 1 to 10 of about 11,773 (167)
Research on group type theory and its functorial semantic models in category logic. [PDF]
PLoS ONEThis paper explores the introduction of group structures within type theory, drawing from the algebraic theory proposed by Roy L. Crole. We define types with group structures and demonstrate that models of these types in categories with finite products ...
Jian-Gang Tang +3 more
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Picard Groups of Algebraic Groups and an Affineness Criterion
Comptes Rendus. Mathématique, 2023 We prove that an algebraic group over a field $k$ is affine precisely when its Picard group is torsion, and show that in this case the Picard group is finite when $k$ is perfect, and the product of a finite group of order prime to $p$ and a $p$-primary ...
Rosengarten, Zev
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The Algebraic Structure of Normal Groups Associated with Q-Neutrosophic Soft Sets [PDF]
Neutrosophic Sets and Systems, 2022 In this paper, we define the notion of Q-neutrosophic normal soft groups and discuss several related structural characteristics and properties. Additionally, we discuss the relation between Q-neutrosophic normal soft groups and normal soft groups ...
Majdoleen Abuqamar +2 more
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Application of automorphic forms to lattice problems
Journal of Mathematical Cryptology, 2022 In this article, we propose a new approach to the study of lattice problems used in cryptography. We specifically focus on module lattices of a fixed rank over some number field.
Düzlü Samed, Krämer Juliane
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Comptes Rendus. Mathématique, 2020 We say that a smooth algebraic group $G$ over a field $k$ is very special if for any field extension $K/k$, every $G_K$-homogeneous $K$-variety has a $K$-rational point. It is known that every split solvable linear algebraic group is very special.
Brion, Michel, Peyre, Emmanuel
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IEEE Access, 2020 This paper presents a hybrid method for the construction of cryptographically strong bijective substitution-boxes by utilizing the merits of chaotic map and algebraic groups.
Musheer Ahmad +3 more
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Free Proalgebraic Groups [PDF]
Épijournal de Géométrie Algébrique, 2020 Replacing finite groups by linear algebraic groups, we study an algebraic-geometric counterpart of the theory of free profinite groups. In particular, we introduce free proalgebraic groups and characterize them in terms of embedding problems.
Michael Wibmer
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Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections
Communications in Analysis and Mechanics, 2023 In this paper, we discuss the beingness conditions for algebraic Schouten solitons associated with Yano connections in the background of three-dimensional Lorentzian Lie groups.
Jinli Yang, Jiajing Miao
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On the Algebraic Characteristics of Fuzzy Sub e-Groups
Journal of Function Spaces, 2021 Fuzzy set is a modern tool for depicting uncertainty. This paper introduces the concept of fuzzy sub e-group as an extension of fuzzy subgroup. The concepts of identity and inverse are generalized in fuzzy sub e-groups.
Supriya Bhunia +4 more
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The cohomology of Torelli groups is algebraic
Forum of Mathematics, Sigma, 2020 The Torelli group of $W_g = \#^g S^n \times S^n$ is the group of diffeomorphisms of $W_g$ fixing a disc that act trivially on $H_n(W_g;\mathbb{Z} )$ .
Alexander Kupers, Oscar Randal-Williams
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