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Subjects
16-XX Associative rings and algebras
16Exx Homological methods
16E20 Grothendieck groups, $K$ -theory, etc.

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D (...)+ and the Arting cokernel.

Robert Oliver (1983)

Commentarii mathematici Helvetici

Decomposition of the Grothendieck group of stable categories of finite groups.

Generalov, A.I., Isametdinov, I.O. (1999)

Zapiski Nauchnykh Seminarov POMI

Diagonal reductions of matrices over exchange ideals

Huanyin Chen (2006)

Czechoslovak Mathematical Journal

In this paper, we introduce related comparability for exchange ideals. Let $I$ be an exchange ideal of a ring $R$ . If $I$ satisfies related comparability, then for any regular matrix $A \in M_{n} (I)$ , there exist left invertible $U_{1}, U_{2} \in M_{n} (R)$ and right invertible $V_{1}, V_{2} \in M_{n} (R)$ such that $U_{1} V_{1} A U_{2} V_{2} = diag (e_{1}, \dots, e_{n})$ for idempotents $e_{1}, \dots, e_{n} \in I$ .

Currently displaying 1 – 3 of 3

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