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Quasi-projective dimension [PDF]
Pacific Journal of Mathematics, 2019 In this paper, we introduce a new homological invariant called quasi-projective dimension, which is a generalization of projective dimension. We discuss various properties of quasi-projective dimension. Among other things, we prove the following.
Mohsen Gheibi +2 more
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Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs [PDF]
HeliyonLet Q be a polynomial ring over a field F and I be an edge ideal associated with the whisker graph of a cubic circulant graph. We discuss the regularity, depth, Stanley depth, and projective dimension of Q/I.
Mujahid Ullah Khan Afridi +2 more
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Geometry-Constrained Learning-Based Visual Servoing with Projective Homography-Derived Error Vector [PDF]
SensorsWe propose a novel geometry-constrained learning-based method for camera-in-hand visual servoing systems that eliminates the need for camera intrinsic parameters, depth information, and the robot’s kinematic model.
Yueyuan Zhang +5 more
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Projective dimension and Castelnuovo-Mumford regularity of t-spread ideals [PDF]
International journal of algebra and computation, 2022 In this paper, we study some algebraic invariants of [Formula: see text]-spread ideals, [Formula: see text], such as the projective dimension and the Castelnuovo–Mumford regularity, by means of well-known graded resolutions.
Luca Amata, M. Crupi, A. Ficarra
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Big Finitistic Dimensions for Categories of Quiver Representations [PDF]
Mathematics Interdisciplinary Research, 2021 Assume that A is a Grothendieck category and R is the category of all A-representations of a given quiver Q. If Q is left rooted and A has a projective generator, we prove that the big finitistic flat (resp. projective) dimension FFD(A) (resp. FPD(A)) of
Roghayeh Bagherian, Esmaeil Hosseini
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Certifying dimension of quantum systems by sequential projective measurements [PDF]
Quantum, 2021 This work analyzes correlations arising from quantum systems subject to sequential projective measurements to certify that the system in question has a quantum dimension greater than some $d$.
Adel Sohbi +3 more
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S-FP-Projective Modules and Dimensions
Journal of Mathematics, 2023 Let R be a ring and let S be a multiplicative subset of R. An R-module M is said to be a u-S-absolutely pure module if ExtR1N,M is u-S-torsion for any finitely presented R-module N. This paper introduces and studies the notion of S-FP-projective modules,
Refat Abdelmawla Khaled Assaad +2 more
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Fractal Dimension of Fractal Functions on the Real Projective Plane
Fractal and Fractional, 2023 In this article, we consider an iterated functions system on the non-Euclidean real projective plane which has a linear structure. Then, we study the fractal dimension of the associated curve as a subset of the projective space and like a set of the ...
Alamgir Hossain +2 more
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Homological dimension based on a class of Gorenstein flat modules
Comptes Rendus. Mathématique, 2023 In this paper, we study the relative homological dimension based on the class of projectively coresolved Gorenstein flat modules (PGF-modules), that were introduced by Saroch and Stovicek in [26].
Dalezios, Georgios, Emmanouil, Ioannis
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Известия Иркутского государственного университета: Серия "Математика", 2022 M. C. Tamburini and P. Zucca proved that the special linear group of dimension greater than 13 over the ring of Gaussian integers is generated by three involutions, two of which commute (J. of Algebra, 1997).
R. I. Gvozdev +2 more
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