Abstract : Let R be an associate ring with an identity, σ be an automorphism and δ a σ-derivation of R. In this article we describe all (nilpotent) associated primes of the skew inverse Laurent series ring R((x−1; σ, δ)) in terms of the (nilpotent) associated primes of R.
Abstract : Let us consider the binary field $\mathbb Z/2.$ An important problem of algebraic topology is to determine the cohomology ${\rm Ext}_{\mathcal A}^{h, *}(\mathbb Z/2, \mathbb Z/2)$ of the Steenrod ring $\mathcal A.$ This remains open for all homological degrees $h\geq 6.$ The algebraic transfer of rank $h$, defined by W.M. Singer in [Math. Z. 202 (1989), 493-523], is a $\mathbb Z/2$-linear map that plays a crucial role in describing the Ext groups. The conjecture proposed by William Singer, namely that the algebraic transfer is one-to-one, has only been verified for ranks $h
Cédric Bonnafé, Alessandra Sarti
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https://doi.org/10.4134/JKMS.j220014
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https://doi.org/10.4134/JKMS.j210494
Jangwon Ju
J. Korean Math. Soc. 2023; 60(5): 931-957
https://doi.org/10.4134/JKMS.j220231
Sangtae Jeong
J. Korean Math. Soc. 2023; 60(1): 1-32
https://doi.org/10.4134/JKMS.j210494
Cédric Bonnafé, Alessandra Sarti
J. Korean Math. Soc. 2023; 60(4): 695-743
https://doi.org/10.4134/JKMS.j220014
Xing Yu Song, Ling Wu
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