منابع مشابه
On the Smoothness of Functors
In this paper we will try to introduce a good smoothness notion for a functor. We consider properties and conditions from geometry and algebraic geometry which we expect a smooth functor should has.
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For a tuple A = (A0, A1, ..., An) of elements in a unital Banach algebra B, its projective spectrum p(A) is defined to be the collection of z = [z0, z1, ..., zn] ∈ P such that A(z) = z0A0 + z1A1 + · · · + znAn is not invertible in B. The pre-image of p(A) in Cn+1 is denoted by P (A). When B is the k × k matrix algebra Mk(C), the projective spectrum is a projective hypersurface. In infinite dime...
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For a tuple A = (A1, A2, . . . , An) of elements in a unital Banach algebra B, its associated multiparameter pencil is A(z) = z1A1+z2A2+· · ·+znAn and its normalized multiparameter pencil is A∗(z) = I + A(z). The projective joint spectrum P (A) or P (A∗) is the collection of z ∈ C such that A(z), or respectively A∗(z), is not invertible. This paper first computes the joint spectrum for the Cunt...
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Let $R$ be a ring and $M$ a right $R$-module with $S=End_R(M)$. A module $M$ is called semi-projective if for any epimorphism $f:Mrightarrow N$, where $N$ is a submodule of $M$, and for any homomorphism $g: Mrightarrow N$, there exists $h:Mrightarrow M$ such that $fh=g$. In this paper, we study SGQ-projective and $pi$-semi-projective modules as two generalizations of semi-projective modules. A ...
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Let U+ be the positive part of the quantized enveloping algebra U of type An. The change of basis between canonical, and PBW-basis of U+ has a geometric interpretation in terms of local intersection cohomology of some affine algebraic varieties, namely the Zariski closures of orbits of representations of a quiver of type An. In this paper we study the local rational smoothness of these orbit cl...
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ژورنال
عنوان ژورنال: SCIENTIA SINICA Mathematica
سال: 2020
ISSN: 1674-7216
DOI: 10.1360/ssm-2020-0134