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arXiv · 1705.02528

Effect of nilpotency on semisimplicity and cohomology of the $\Z$-module $\Z/(p_1^{k_1}\times \cdots \times p_n^{k_n})\Z$

David Ssevviiri
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Abstract

We show that existence of nonzero nilpotent elements in the $\Z$-module $\Z/(p_1^{k_1}\times \cdots \times p_n^{k_n})\Z$ inhibits the module from possessing good structural properties. In particular, it stops it from being semisimple and from admitting certain good homological properties.

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David Ssevviiri. 2017-05-06. Effect of nilpotency on semisimplicity and cohomology of the $\Z$-module $\Z/(p_1^{k_1}\times \cdots \times p_n^{k_n})\Z$. https://arxiv.org/abs/1705.02528

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