Zobrazeno 1 - 10
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pro vyhledávání: '"Bruner, Robert"'
Autor:
Bruner, Robert R., Isaksen, Daniel C.
In 2006, Jeff Smith proposed a theory of ideals for rings in a triangulated symmetric monoidal category such as ring spectra or DGAs. We show that his definition is equivalent to a `central' $R$-$R$-bimodule map $ I \to R$.
Comment: Added refere
Comment: Added refere
Externí odkaz:
http://arxiv.org/abs/2208.07941
Autor:
Bruner, Robert R., Rognes, John
A minimal resolution of the mod 2 Steenrod algebra in the range $0 \leq s \leq 128$, $0 \leq t \leq 200$, together with chain maps for each cocycle in that range and for the squaring operation $Sq^0$ in the cohomology of the Steenrod algebra.
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Externí odkaz:
http://arxiv.org/abs/2109.13117
Publikováno v:
Mathematische Zeitschrift, 2022
We discuss proofs of local cohomology theorems for topological modular forms, based on Mahowald-Rezk duality and on Gorenstein duality, and then make the associated local cohomology spectral sequences explicit, including their differential patterns a
Externí odkaz:
http://arxiv.org/abs/2107.02272
Autor:
Bruner, Robert R., Rognes, John
Publikováno v:
Transactions of the American Mathematical Society, 2022
We show that if we factor the long exact sequence in cohomology of a cofiber sequence of spectra into short exact sequences, then the $d_2$-differential in the Adams spectral sequence of any one term is related in a precise way to Yoneda composition
Externí odkaz:
http://arxiv.org/abs/2105.02601
Explicit extensions representing cocycles $x \in Ext_{A}^{s,t}(F_2,F_2)$ are useful in calculating Steenrod operations $Sq^i : Ext_{A}^{s,t}(F_2,F_2) \longrightarrow Ext_{A}^{s+i,2t}(F_2,F_2)$ by a method devised by the second author. This can be use
Externí odkaz:
http://arxiv.org/abs/1909.03117
Autor:
Benson, David, Bruner, Robert R.
Publikováno v:
Archiv der Math. (Basel) 106 (2016), no. 4, 323--325
We give a counterexample to Theorem 5 in Section 18.2 of Margolis' book, "Spectra and the Steenrod Algebra", and make remarks about the proofs of some later theorems in the book that depend on it. The counterexample is a module which does not split a
Externí odkaz:
http://arxiv.org/abs/1507.01039
Autor:
Bruner, Robert R.
Publikováno v:
Contemporary Mathematics 617 (2014) 81-108
We analyze the stable isomorphism type of polynomial rings on degree 1 generators as modules over the sub-algebra A(1) = of the mod 2 Steenrod algebra. Since their augmentation ideals are Q_1-local, we do this by studying the Q_i-local s
Externí odkaz:
http://arxiv.org/abs/1211.0213