Displaying similar documents to “More about homological properties of precrossed modules.”

Rigidity of generalized Verma modules

Oleksandr Khomenko, Volodymyr Mazorchuk (2002)

Colloquium Mathematicae

Similarity:

We prove that generalized Verma modules induced from generic Gelfand-Zetlin modules, and generalized Verma modules associated with Enright-complete modules, are rigid. Their Loewy lengths and quotients of the unique Loewy filtrations are calculated for the regular block of the corresponding category 𝒪(𝔭,Λ).

Limits of tilting modules

Clezio A. Braga, Flávio U. Coelho (2009)

Colloquium Mathematicae

Similarity:

We study the problem of when a direct limit of tilting modules is still a tilting module.

Some remarks on Prüfer modules

S. Ebrahimi Atani, S. Dolati Pishhesari, M. Khoramdel (2013)

Discussiones Mathematicae - General Algebra and Applications

Similarity:

We provide several characterizations and investigate properties of Prüfer modules. In fact, we study the connections of such modules with their endomorphism rings. We also prove that for any Prüfer module M, the forcing linearity number of M, fln(M), belongs to {0,1}.

Modules for which the natural map of the maximal spectrum is surjective

H. Ansari-Toroghy, R. Ovlyaee-Sarmazdeh (2010)

Colloquium Mathematicae

Similarity:

Let R be a commutative ring with identity. The purpose of this paper is to introduce two new classes of modules over R, called Ms modules and fulmaximal modules respectively. The first (resp. second) class contains the family of finitely generated and primeful (resp. finitely generated and multiplication) modules properly. Our concern is to extend some properties of primeful and multiplication modules to these new classes of modules.

Baer invariants of crossed modules.

Leoncio Franco Fernández (1991)

Extracta Mathematicae

Similarity:

The purpose of this paper is to establish a theory of Baer invariants, associated to certain types of varieties of (pre)crossed modules, and to obtain a five term exact sequence and 'the basic theorem' of Stallings in this setting. Our method, which extends results of [4] and aspects of [9], gives a systematic treatment for several cases.