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Papers by esperanza campos
Even though the class of power associative algebras is huge, only Hurwitz algebras appear in the ... more Even though the class of power associative algebras is huge, only Hurwitz algebras appear in the case of composition algebras, not necessarily unital, over fields of characteristic different from two. Under this assumption and other conditions weaker than power ...
Modules and Comodules, 2008
Necessary and sufficient conditions are given for a module over a Dedekind domain to satisfy the ... more Necessary and sufficient conditions are given for a module over a Dedekind domain to satisfy the ascending chain condition on n-generated submodules for every positive integer n or on submodules with uniform dimension at most n for every positive integer n. These ...
Communications in Algebra, 2001
In this paper we introduce the concept of right (left) perfect associative pair, obtaining many d... more In this paper we introduce the concept of right (left) perfect associative pair, obtaining many different characterizations for this class of pairs. It is also given a structure theorem for right perfect pairs such that A is simple. Finally, we develop some aspects of the theory of non necessarily unital perfect rings.
Communications in Algebra, 1999
It is known [8] that a semiperfect ring is characterized by the existence of a frame, i.e, a comp... more It is known [8] that a semiperfect ring is characterized by the existence of a frame, i.e, a complete set of local orthogonal idempotents. We prove in this paper that a similar behaviour occurs when dealing with an associative pair A, namelyAis semiperfect if and only if Acontains a frame and Ā=A/Rad Ais unital. Moreover, we show that, when Ā
Journal of Algebra, 2006
Even though the class of power associative algebras is huge, only Hurwitz algebras appear in the ... more Even though the class of power associative algebras is huge, only Hurwitz algebras appear in the case of composition algebras, not necessarily unital, over fields of characteristic different from two. Under this assumption and other conditions weaker than power ...
Communications in Algebra, 2001
In this paper we introduce the concept of right (left) perfect associative pair, obtaining many d... more In this paper we introduce the concept of right (left) perfect associative pair, obtaining many different characterizations for this class of pairs. It is also given a structure theorem for right perfect pairs such that A is simple. Finally, we develop some aspects of the theory of non necessarily unital perfect rings.
Communications in Algebra, 1999
Page 1. COMMUNICATIONS IN ALGEBRA, 27(12), 601 5-6038 (1 999) ON SEMIPERFECT ASSOCIATIVE PAIRS De... more Page 1. COMMUNICATIONS IN ALGEBRA, 27(12), 601 5-6038 (1 999) ON SEMIPERFECT ASSOCIATIVE PAIRS Departamento de Algebra, Geornetria y Topologia. Universidad de MBlaga. Apartado 59. 29080 Malaga. Spain. e-mail: esperanz@agt.cic.nma.es ABSTRACT. ...
Even though the class of power associative algebras is huge, only Hurwitz algebras appear in the ... more Even though the class of power associative algebras is huge, only Hurwitz algebras appear in the case of composition algebras, not necessarily unital, over fields of characteristic different from two. Under this assumption and other conditions weaker than power ...
Modules and Comodules, 2008
Necessary and sufficient conditions are given for a module over a Dedekind domain to satisfy the ... more Necessary and sufficient conditions are given for a module over a Dedekind domain to satisfy the ascending chain condition on n-generated submodules for every positive integer n or on submodules with uniform dimension at most n for every positive integer n. These ...
Communications in Algebra, 2001
In this paper we introduce the concept of right (left) perfect associative pair, obtaining many d... more In this paper we introduce the concept of right (left) perfect associative pair, obtaining many different characterizations for this class of pairs. It is also given a structure theorem for right perfect pairs such that A is simple. Finally, we develop some aspects of the theory of non necessarily unital perfect rings.
Communications in Algebra, 1999
It is known [8] that a semiperfect ring is characterized by the existence of a frame, i.e, a comp... more It is known [8] that a semiperfect ring is characterized by the existence of a frame, i.e, a complete set of local orthogonal idempotents. We prove in this paper that a similar behaviour occurs when dealing with an associative pair A, namelyAis semiperfect if and only if Acontains a frame and Ā=A/Rad Ais unital. Moreover, we show that, when Ā
Journal of Algebra, 2006
Even though the class of power associative algebras is huge, only Hurwitz algebras appear in the ... more Even though the class of power associative algebras is huge, only Hurwitz algebras appear in the case of composition algebras, not necessarily unital, over fields of characteristic different from two. Under this assumption and other conditions weaker than power ...
Communications in Algebra, 2001
In this paper we introduce the concept of right (left) perfect associative pair, obtaining many d... more In this paper we introduce the concept of right (left) perfect associative pair, obtaining many different characterizations for this class of pairs. It is also given a structure theorem for right perfect pairs such that A is simple. Finally, we develop some aspects of the theory of non necessarily unital perfect rings.
Communications in Algebra, 1999
Page 1. COMMUNICATIONS IN ALGEBRA, 27(12), 601 5-6038 (1 999) ON SEMIPERFECT ASSOCIATIVE PAIRS De... more Page 1. COMMUNICATIONS IN ALGEBRA, 27(12), 601 5-6038 (1 999) ON SEMIPERFECT ASSOCIATIVE PAIRS Departamento de Algebra, Geornetria y Topologia. Universidad de MBlaga. Apartado 59. 29080 Malaga. Spain. e-mail: esperanz@agt.cic.nma.es ABSTRACT. ...