Abstract
A representation M of a finite-dimensional algebra R over a field k is reflexive if the the only k-endomorphisms of M which preserve the lattice of R-submodules of M are the scalar multiplications of R. This paper considers necessary and sufficient conditions for an algebra to be reflexive and uses the structure of the quiver of R to characterise the left serial reflexive algebras.
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References
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© 1995 Springer Science+Business Media Dordrecht
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Snashall, N. (1995). Reflexivity of Left Serial Algebras. In: Facchini, A., Menini, C. (eds) Abelian Groups and Modules. Mathematics and Its Applications, vol 343. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0443-2_35
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DOI: https://doi.org/10.1007/978-94-011-0443-2_35
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4198-0
Online ISBN: 978-94-011-0443-2
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