Abelian Groups and Representations of Finite Partially Ordered Sets

By D. Arnold. 2000

86 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Auslander–Reiten translations in monomorphism categories (2011, background): “In [Ar], Sn(R) is denoted by C(n,R), where R is a commutative uniserial ring; the complete list of C(n,R) of finite type, and of the representation types of C(n, k[x]/〈xt〉), are given by D.”
Representation types of the category of subprojective representations of a finite poset over K(t)/(t m ) and a solution of a Birkhoff type problem (2007, background): “Note also that the subposet Î[1,2] of Î[0,2] does not contain any of the hypercritical posets of Nazarova.”
The Stable Monomorphism Category of a Frobenius category (2009, background): “i2(s(α)) −→ α −→ i1(Cok α) −→ i2(s(α))[1].”
Monomorphism categories, cotilting theory, and Gorenstein-projective modules (2011, methodology): “Then Sn(A) is a functorially finite subcategory in Morn(A) and has Auslander-Reiten sequences.”