Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tate-Betti and Tate-Bass numbers   We define Tate-Betti and Tate-Bass invariants for modules over a commutative
noetherian local ring R. Then we show the periodicity of these invariants
provided that R is a hypersurface. In case R is also Gorenstein, we show that a
finitely generated R-module M and its Matlis dual have the same Tate-Betti and
Tate-Bass numbers.

4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys