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Strong shift equivalence of 2 by 2 non‐negative integral matrices
Author(s) -
Choe Geon Ho,
Shin Sujin
Publication year - 1997
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300012614
Subject(s) - mathematics , equivalence (formal languages) , prime (order theory) , combinatorics , pure mathematics
It is known that if A and B are nontriangular 2 × 2 non‐negative integral matrices similar over the integers and –tr A ≤det A , then A and B are strongly shift equivalent. Suppose that A and B are 2 × 2 non‐negative integral matrices similar over the integers. In this article it is shown that if −2 tr A ≤det A <– tr A and if | det A | is not a prime, then A and B are strongly shift equivalent.
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