Equivalences Induced by Infinitely Generated Silting Modules
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DOI: 10.1007/s10468-019-09930-3
Abstract: We study equivalences induced by a silting module $T$ or, equivalently, by a complex of projectives $\mathbb{P}$, concentrated in $-1$ and $0$ which is silting in the derived category $\mathbf{D}(R)$ of a ring $R$. read more here.
Keywords: equivalences induced; silting modules; infinitely generated; induced infinitely ... See more keywords
Some infinitely generated non-projective modules over path algebras and their extensions under Martin's axiom
Sign Up to like & getrecommendations! Published in 2020 at "Journal of The Mathematical Society of Japan"
DOI: 10.2969/jmsj/79857985
Abstract: In this paper it is proved that, when $Q$ is a quiver that admits some closure, for any algebraically closed field $K$ and any finite dimensional $K$-linear representation $\mathcal{X}$ of $Q$, if ${\rm Ext}^1_{KQ}(\mathcal{X},KQ)=0$ then… read more here.
Keywords: martin axiom; projective modules; non projective; infinitely generated ... See more keywords