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Mathematics, 2023 A model of set theory ZFC is defined in our recent research, in which, for a given n≥3, (An) there exists a good lightface Δn1 well-ordering of the reals, but (Bn) no well-orderings of the reals (not necessarily good) exist in the previous class Δn−11 ...
Vladimir Kanovei, Vassily Lyubetsky
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A Model in Which Well-Orderings of the Reals First Appear at a Given Projective Level, Part II
Mathematics, 2023 We consider the problem of the existence of well-orderings of the reals, definable at a certain level of the projective hierarchy. This research is motivated by the modern development of descriptive set theory.
Vladimir Kanovei, Vassily Lyubetsky
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Mathematics, 2023 We make use of generalized iterations of the Sacks forcing to define cardinal-preserving generic extensions of the constructible universe L in which the axioms of ZF hold and in addition either (1) the parameter-free countable axiom of choice ACω* fails,
Vladimir Kanovei, Vassily Lyubetsky
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Class Nearly kahler Manifold of W – Projective Curvature Tensor
Tikrit Journal of Pure Science, 2023 The current study deals with new three classes of the manifold of w – projective curvature tensor. The aim of this paper to calculate differential - geometrical and topological properties closest for new classes , and , through it ,an equivalence ...
Ali Khalaf Ali, A. A.Shihab
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Regular subgroups, nilpotent algebras and projectively congruent matrices [PDF]
International Journal of Group Theory, 2018 In this paper we highlight the connection between certain classes of regular subgroups of the affine group $AGL_n(F)$, $F$ a field, and associative nilpotent $F$-algebras of dimension $n$.
Marco Pellegrini
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Automorphism group schemes of bielliptic and quasi-bielliptic surfaces [PDF]
Épijournal de Géométrie Algébrique, 2022 Bielliptic and quasi-bielliptic surfaces form one of the four classes of minimal smooth projective surfaces of Kodaira dimension $0$. In this article, we determine the automorphism schemes of these surfaces over algebraically closed fields of arbitrary ...
Gebhard Martin
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Chow transformation of coherent sheaves
Complex Manifolds, 2023 We define a dual of the Chow transformation of currents on any complex projective manifold. This integral transformation is a factor of a left inverse of the Chow transformation and its composition with the Chow transformation is a right inverse of a ...
Méo Michel
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THE FIRST U-EXTENSION MODULE AS CLASSES OF SHORT U-EXACT SEQUENCES
Jurnal Matematika UNAND, 2021 Inspired by the notions of the U-exact sequence introduced by Davvaz and Parnian-Garamaleky in 1999, and of the chain U-complex introduced by Davvaz and Shabani-Solt in 2002, Mahatma and Muchtadi-Alamsyah in 2017 developed the concept of the U-projective
Yudi Mahatma
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The Projective Special Linear Group PSL(4,2). [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2009 :The present study deals with conjugacy classes for the projective linear group. The study of conjugacy classes has a great and important role; in hand it is an introductory step to study the general linear group and also the maximal subgroup in it.We ...
Muthana A. Mahmood, Alaa Adnan Auad
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Indecomposable $K_1$ classes on a Surface and Membrane Integrals
Comptes Rendus. Mathématique, 2020 Let $X$ be a projective algebraic surface. We recall the $K$-group $K_{1,\mathrm{ind}}^{(2)}(X)$ of indecomposables and provide evidence that membrane integrals are sufficient to detect these indecomposable classes.
Chen, Xi +2 more
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