[图书][B] Classical Artinian rings and related topics
Y Baba - 2009 - books.google.com
Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since
then, these classical artinian rings have continued to fascinate ring theorists with their …
then, these classical artinian rings have continued to fascinate ring theorists with their …
The module of differentials of a noncommutative ring extension
H Komatsu - International Symposium on Ring Theory, 2001 - Springer
We study elementary properties of modules of differentials of noncommutative ring
extensions and give a commutativity condition for separable algebras. The notion of the …
extensions and give a commutativity condition for separable algebras. The notion of the …
[PDF][PDF] On quasi-projective modules and quasi-injective modules
Y Baba - Scientiae Mathematicae Japonicae, 2006 - jams.or.jp
In [9, Theorem 3.1] KR Fuller characterized indecomposable injective projective modules
over artinian rings using i-pairs. In [3] the author generalized this theorem to …
over artinian rings using i-pairs. In [3] the author generalized this theorem to …
[PDF][PDF] Semicolocal pairs and finitely cogenerated injective modules
M Morimoto, T Sumioka - 2000 - projecteuclid.org
Let P and Q be rings, and pM, NQ and pVρ a. left P-module, a right β-module and a P-< 2-
bimodule, respectively. Let φ: M x N—>• V be a PQ-bilinear map. Then we say that (pM, NQ) …
bimodule, respectively. Let φ: M x N—>• V be a PQ-bilinear map. Then we say that (pM, NQ) …
Dual bimodules and Nakayama permutations
Y Kurata, K Koike, K Hashimoto - International Symposium on Ring Theory, 2001 - Springer
Unifying results due to Azumaya, Hajarnavis and Norton, and Nicholson and Yousif, we
shall give a characterization of the Nakayama permutation. Then the dual bimodule can be …
shall give a characterization of the Nakayama permutation. Then the dual bimodule can be …
ON COLOCAL PAIRS
Y BABA - Ring Theory 2007, 2009 - World Scientific
Abstract In [10, Theorem 3.1] KR Fuller characterized indecomposable injective projective
modules over artinian rings using i-pairs. In [3] the author generalized this theorem to …
modules over artinian rings using i-pairs. In [3] the author generalized this theorem to …