The projective limit of the spaces
J. A. Cima, J. R. Harrington, J. A. Pfaltzgraff (1977)
Colloquium Mathematicae
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J. A. Cima, J. R. Harrington, J. A. Pfaltzgraff (1977)
Colloquium Mathematicae
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Fabio Podestà (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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In this work we give a characterization of the projective invariant pseudometric , introduced by H. Wu, for a particular class of real -manifolds; in view of this result, we study the group of projective transformations for the same class of manifolds and we determine the integrated pseudodistance of in open convex regular cones of , endowed with the characteristic metric.
Eva Ferrara Dentice (2018)
Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche
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In the paper (Ferrara Dentice et al., 2004) a complete exposition of the state of the art for lax embeddings of polar spaces of finite rank is presented. As a consequence, we have that if a Grassmann space of dimension 3 and index 1 has a lax embedding in a projective space over a skew–field , then is the Klein quadric defined over a subfield of . In this paper, I examine Grassmann spaces of arbitrary dimension and index having a lax embedding in a projective space.
Fabio Podestà (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this work we give a characterization of the projective invariant pseudometric , introduced by H. Wu, for a particular class of real -manifolds; in view of this result, we study the group of projective transformations for the same class of manifolds and we determine the integrated pseudodistance of in open convex regular cones of , endowed with the characteristic metric.
Farrokh Shirjian, Ali Iranmanesh (2017)
Czechoslovak Mathematical Journal
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Let be a finite group. Let be the first column of the ordinary character table of . We will show that if , then . As a consequence, we show that the projective general unitary groups are uniquely determined by the structure of their complex group algebras.
Ioana Ghenciu (2022)
Commentationes Mathematicae Universitatis Carolinae
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We give sufficient conditions implying that the projective tensor product of two Banach spaces and has the -sequentially Right and the --limited properties, .
Josef Vala (1993)
Mathematica Bohemica
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Some results in the geometry of four-parametric manifolds of three-dimensional spaces in the projective space are found. The properties of such a manifold with characteristics consisting of a quadric and two planes are studied. The properties of the manifold dual to are found. Some results in the geometry of linear spaces from [1],[2],[3],[4] are used. The notation of the quantities is the same as in [4].
Lixin Mao (2023)
Czechoslovak Mathematical Journal
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Let be a trivial extension of a ring by an --bimodule such that , , and have finite flat dimensions. We prove that is a Ding projective left -module if and only if the sequence is exact and is a Ding projective left -module. Analogously, we explicitly describe Ding injective -modules. As applications, we characterize Ding projective and Ding injective modules over Morita context rings with zero bimodule homomorphisms.
Ioana Ghenciu (2019)
Commentationes Mathematicae Universitatis Carolinae
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We investigate whether the projective tensor product of two Banach spaces and has the reciprocal Dunford–Pettis property of order , , when and have the respective property.
Yusuf Alagöz, Sinem Benli, Engin Büyükaşık (2021)
Commentationes Mathematicae Universitatis Carolinae
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A right -module is called -projective provided that it is projective relative to the right -module . This paper deals with the rings whose all nonsingular right modules are -projective. For a right nonsingular ring , we prove that is of finite Goldie rank and all nonsingular right -modules are -projective if and only if is right finitely - and flat right -modules are -projective. Then, -projectivity of the class of nonsingular injective right modules is also considered....
Aiping Zhang, Xueping Lei (2024)
Czechoslovak Mathematical Journal
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Let be a CM-finite Artin algebra with a Gorenstein-Auslander generator , be a Gorenstein projective -module and . We give an upper bound for the finitistic dimension of in terms of homological data of . Furthermore, if is -Gorenstein for , then we show the global dimension of is less than or equal to plus the -projective dimension of As an application, the global dimension of is less than or equal to .
Christine Vespa (2008)
Fundamenta Mathematicae
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We continue the study of the category of functors , associated to ₂-vector spaces equipped with a nondegenerate quadratic form, initiated in J. Pure Appl. Algebra 212 (2008) and Algebr. Geom. Topology 7 (2007). We define a filtration of the standard projective objects in ; this refines to give a decomposition into indecomposable factors of the first two standard projective objects in : and . As an application of these two decompositions, we give a complete description of the polynomial...