On dual pairs and simple-injective modules

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 …

被引用次数：86 相关文章所有 6 个版本

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 …

被引用次数：5 相关文章所有 4 个版本

[PDF] jams.or.jp

[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 …

被引用次数：4 相关文章所有 3 个版本

[PDF] projecteuclid.org

[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) …

被引用次数：4 相关文章所有 8 个版本

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 …

被引用次数：2 相关文章所有 2 个版本

[PDF] ring-theory-japan.com

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 …