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We prove that for a noetherian semilocal ring R with exactly k isomorphism classes of simple
right modules the monoid V*(R) of isomorphism classes of countably generated projective …

We use pullbacks of rings to realize the submonoids $ M $ of $(\mathbb {N} _0\cup\{\infty\})^
k $, which are the set of solutions of a finite system of linear diophantine inequalities as the …

Projective modules over the Gerasimov–Sakhaev counterexample Page 1 Journal of
Algebra 319 (2008) 3259–3279 www.elsevier.com/locate/jalgebra Projective modules over …

ABSTRACT A ring R is called a left APP-ring if the left annihilator lR (Ra) is pure as a left
ideal in R for any element a∈ R. This concept is a common generalization of left pq-Baer …

We (re) introduce four ideal-related generalizations of classic module-theoretic notions: the
ideal-superfluity, projective ideal-covers, the ideal-projectivity, and ideal-supplements. For a …

Let R be an associative ring with unity and let I be a two-sided ideal of R contained in the
Jacobson radical J (R) of R. For a right module M over the ring R we call the right module …

This work collects several articles of the author and his colleagues devoted to the direct sum
decompositions of infinitely generated projective modules. Before giving a summary of this …

Алгебраические исследования в Казанском университете от ВВМорозова до наших дней
– тема научной статьи по математике читайте бесплатно текст научно-исследовательской …

Title: Compact objects in categories of modules Author: Peter Kálnai Department:
Department of Algebra Supervisor: Mgr. Jan Žemlička, Ph. D., Department of Algebra …