A module is serial if it is a direct sum of uniserial modules. In this paper we consider the following problem: Is every direct summand of a serial module serial? Positive results in several special cases are obtained. In particular, we show that every direct summand of a finite direct sum of copies of a uniserial module U is again a direct sum of copies of U. © 1998 Elsevier Science B.V. All rights reserved.
Direct summands of serial modules
FACCHINI, ALBERTO
1998
Abstract
A module is serial if it is a direct sum of uniserial modules. In this paper we consider the following problem: Is every direct summand of a serial module serial? Positive results in several special cases are obtained. In particular, we show that every direct summand of a finite direct sum of copies of a uniserial module U is again a direct sum of copies of U. © 1998 Elsevier Science B.V. All rights reserved.
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