منابع مشابه
On Parameter Spaces for Artin Level Algebras
We describe the tangent space to the parameter variety of all artin level quotients of a polynomial ring in n variables having specified socle degree and type. When n = 2, we relate this variety to the family of secants of the rational normal curve. With additional numerical hypotheses, we prove a projective normality theorem for the parameter variety in its natural Plücker embedding. AMS subje...
متن کاملGrowth functions for Artin monoids
In [S1] we showed that the growth function PM (t) for an Artin monoid of finite type M is a rational function of the form 1/NM (t) where NM (t) is a polynomial1, and gave three conjectures on the denominator polynomial NM (t). In the present note, we remove this assumption on M by showing the result for any type M . Then we give renewed three conjectures on the denominator poynomial NM (t) for ...
متن کاملGeneric modules over artin algebras
Generic modules have been introduced by Crawley-Boevey in order to provide a better understanding of nite dimensional algebras of tame representation type. In fact he has shown that the generic modules correspond to the one-parameter families of indecomposable nite dimensional modules over a tame algebra 5]. The Second Brauer-Thrall Conjecture provides another reason to study generic modules be...
متن کاملOn Cm-finite Gorenstein Artin Algebras
An artin algebra A is said to be CM-finite if there are only finitely many, up to isomorphisms, indecomposable finitely-generated Gorenstein-projective A-modules. We prove that for a Gorenstein artin algebra, it is CM-finite if and only if every its Gorenstein-projective module is a direct sum of finitely-generated Gorenstein-projective modules.
متن کاملConstructing large modules over artin algebras
Let be an artin algebra and denote by mod(() the category of nitely generated-modules. Apart from those we are also interested in-modules which are not nitely generated. These are called large. Recall that the algebra is of innnite representation type provided that mod(() has innnitely many isomorphism classes of indecomposable objects. A theorem of Auslander asserts that there exists a large i...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2018
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2017.03.012