Results 41 to 50 of about 1,065 (101)
Finitistic Dimension Conjectures for representations of quivers
Turkish Journal of Mathematics, 2013 Let R be a ring and Q be a quiver. We prove the rst Finitistic Dimension Conjecture to be true for RQ, the path ring of Q over R, provided that R satises the conjecture. In fact, we prove that if the little and the big nitistic dimensions of R coincide and equal n < 1 , then this is also true for RQ and, both the little and the big nitistic dimensions ...
Estrada, Sergio, Ozdemir, Salahattin
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Infinite inference and mathematical conventionalism
Philosophy and Phenomenological Research, Volume 109, Issue 3, Page 897-912, November 2024.Abstract We argue that (1) a purported example of an infinite inference we humans can actually perform admits a faithful, finitary description, and (2) infinite inference contravenes any view which does not grant our minds uncomputable powers. These arguments block the strategy, dating back to Carnap's Logical Syntax of Language, of using infinitary ...
Douglas Blue
wiley +1 more source
On the grade of modules over Noetherian rings
, 2007 Let $\Lambda$ be a left and right noetherian ring and $\mod \Lambda$ the category of finitely generated left $\Lambda$-modules. In this paper we show the following results: (1) For a positive integer $k$, the condition that the subcategory of $\mod ...
Huang, Zhaoyong
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Noûs, Volume 58, Issue 2, Page 306-332, June 2024.Abstract Mathematical pluralism can take one of three forms: (1) every consistent mathematical theory consists of truths about its own domain of individuals and relations; (2) every mathematical theory, consistent or inconsistent, consists of truths about its own (possibly uninteresting) domain of individuals and relations; and (3) the principal ...
Edward N. Zalta
wiley +1 more source
Layer Lengths, Torsion Theories and the Finitistic Dimension [PDF]
Applied Categorical Structures, 2011 Let $ $ be an artinian ring. Generalizing the Loewy length, we propose the layer length associated with a torsion theory, which is a new measure for finitely generated $ $-modules.
Huard, François +2 more
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Modules of finite Gorenstein flat dimension and approximations
Mathematische Nachrichten, Volume 297, Issue 4, Page 1187-1207, April 2024.Abstract We study approximations of modules of finite Gorenstein flat dimension by (projectively coresolved) Gorenstein flat modules and modules of finite flat dimension. These approximations determine the Gorenstein flat dimension and lead to descriptions of the corresponding relative homological dimensions, for such modules, in more classical terms ...
Ioannis Emmanouil
wiley +1 more source
Orders of elements in finite quotients of Kleinian groups [PDF]
, 2011 A positive integer $m$ will be called a {\it finitistic order} for an element $\gamma$ of a group $\Gamma$ if there exist a finite group $G$ and a homomorphism $h:\Gamma\to G$ such that $h(\gamma)$ has order $m$ in $G$.
Shalen, Peter B.
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Recollements from Cotorsion Pairs
, 2018 Given a complete hereditary cotorsion pair $(\mathcal{A},\mathcal{B})$ in a Grothendieck category $\mathcal{G}$, the derived category $\mathcal{D}(\mathcal{B})$ of the exact category $\mathcal{B}$ is defined as the quotient of the category $\mathrm{Ch ...
Bazzoni, Silvana, Tarantino, Marco
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Finitistic dimension and Igusa–Todorov algebras
Advances in Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The phantom menace in representation theory [PDF]
, 2014 Our principal goal in this overview is to explain and motivate the concept of a phantom in the representation theory of a finite dimensional algebra $\Lambda$.
Huisgen-Zimmermann, Birge
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