Given a module M over an arbitrary ring, we characterize the existence of Add M -covers and Add M -envelopes in terms of finiteness conditions of M over its endomorphism ring. We also give some applications related to the existence of well-behaved direct sum decompositions for direct products of copies of M. These results can be viewed as natural extensions of classical theorems of Bass and Chase on coherent and perfect rings
We apply minimal weakly generating sets to study the existence of Add(UR)-covers for a uniserial mod...
summary:In this paper, we study the existence of the $n$-flat preenvelope and the $n$-FP-injective c...
AbstractFor a left pure semisimple ring R, it is shown that the local duality establishes a bijectio...
This master's thesis deals with questions about the existence of module appro- ximations, namely C-p...
A ring $R$ is left noetherian if and only if the direct sum of injective envelopes of any family of ...
AbstractLet (R,m) be a local ring (commutative and Noetherian). If R is complete (or, more generally...
Abstract. Let R be a ring and n a fixed non-negative integer. T In (resp. T Fn) denotes the class of...
Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they...
Let R be a reduced, one-dimensional Noetherian local ring whose integral closure is finitely generat...
This thesis is divided in two chapters. The first one concerns direct-sum decompositions in additiv...
This master's thesis deals with questions about the existence of module appro- ximations, namely C-p...
summary:It is known that a ring $R$ is left Noetherian if and only if every left $R$-module has an i...
A module over a semiring lacks zero sums (LZS) if it has the property that v +w = 0 implies v = 0 an...
This expository monograph was written for three reasons. Firstly, we wanted to present the solution ...
Abstract. We provide derived equivalences for endomorphism rings associated with a certain exact seq...
We apply minimal weakly generating sets to study the existence of Add(UR)-covers for a uniserial mod...
summary:In this paper, we study the existence of the $n$-flat preenvelope and the $n$-FP-injective c...
AbstractFor a left pure semisimple ring R, it is shown that the local duality establishes a bijectio...
This master's thesis deals with questions about the existence of module appro- ximations, namely C-p...
A ring $R$ is left noetherian if and only if the direct sum of injective envelopes of any family of ...
AbstractLet (R,m) be a local ring (commutative and Noetherian). If R is complete (or, more generally...
Abstract. Let R be a ring and n a fixed non-negative integer. T In (resp. T Fn) denotes the class of...
Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they...
Let R be a reduced, one-dimensional Noetherian local ring whose integral closure is finitely generat...
This thesis is divided in two chapters. The first one concerns direct-sum decompositions in additiv...
This master's thesis deals with questions about the existence of module appro- ximations, namely C-p...
summary:It is known that a ring $R$ is left Noetherian if and only if every left $R$-module has an i...
A module over a semiring lacks zero sums (LZS) if it has the property that v +w = 0 implies v = 0 an...
This expository monograph was written for three reasons. Firstly, we wanted to present the solution ...
Abstract. We provide derived equivalences for endomorphism rings associated with a certain exact seq...
We apply minimal weakly generating sets to study the existence of Add(UR)-covers for a uniserial mod...
summary:In this paper, we study the existence of the $n$-flat preenvelope and the $n$-FP-injective c...
AbstractFor a left pure semisimple ring R, it is shown that the local duality establishes a bijectio...