Irreducible Morphisms Between Modules over a Repetitive Algebras
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DOI: 10.1007/s10468-017-9733-9
Abstract: We describe the irreducible morphisms in the category of modules over a repetitive algebra. We find three special canonical forms: The first canonical form happens when all the component morphisms are split monomorphisms, the second… read more here.
Keywords: modules repetitive; irreducible morphisms; repetitive algebras; morphisms modules ... See more keywords
Degrees of Irreducible Morphisms over Perfect Fields
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DOI: 10.1007/s10468-018-9781-9
Abstract: The module category of any artin algebra is filtered by the powers of its radical, thus defining an associated graded category. As an extension of the degree of irreducible morphisms, this text introduces the degree… read more here.
Keywords: degrees irreducible; category; perfect fields; irreducible morphisms ... See more keywords
Degrees of irreducible morphisms in generalized standard coherent almost cyclic components
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DOI: 10.1080/00927872.2016.1226869
Abstract: ABSTRACT We study the degrees of irreducible morphisms between indecomposable modules lying in generalized standard coherent almost cyclic components of Auslander-Reiten quivers of artin algebras. read more here.
Keywords: degrees irreducible; standard coherent; irreducible morphisms; almost cyclic ... See more keywords