Titlebook: International Symposium on Ring Theory; Gary F. Birkenmeier,Jae Keol Park,Young Soo Park Conference proceedings 2001 Springer Science+Busi

CRACY

On Generalizations of Injectivity,Let . be a ring. The following results are proven.

擋泥板

震驚

The Flat Cover Conjecture and Its Solution,We will give a brief history of the developments that led to the flat cover conjecture and its positive solution.

大氣層

The Module of Differentials of a Noncommutative Ring Extension,We study elementary properties of modules of differentials of noncommutative ring extensions and give a commutativity condition for separable algebras.

蚊帳

Dual Bimodules and Nakayama Permutations,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 characterized by a Nakayama permutation. We shall show that any left PF ring also admits a Nakayama permutation.

defenses

雇傭兵

wangle

On the Maximal ,-Corational Extensions of Modules,The main aim of this paper is to relate the maximal .-corational extension with the .-colocalization and the .-projective cover of a module for a preradical ..

Minuet

灰心喪氣