Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On strongly quasi-hereditary algebras   Let $A$ be a finite dimensional algebra over an algebraically closed field
$\mathbf{k}$. If $A$ is quasi-hereditary and the projective dimensions of all
standard modules are at most one, then $A$ is called left strongly
quasi-hereditary. In this paper, we construct a special heredity chain for left
strongly quasi-hereditary algebras. Moreover, we show the quotient algebra by
an ideal which appears in a special heredity chain of left strongly
quasi-hereditary algebra is also left strongly quasi-hereditary algebra.

22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th