Abstract. Let R be a ring and M be a right R-module. In this paper we will study various properties of amply weak semisimple-supplemented module. It is shown that:
(1) every projective weakly semisimple-supplemented module is amply weak semisimple-supplemented;
(2) if M is an amply weak semisimple-supplemented module and satisfies DCC on weak semisimple-supplement submodules and on small submodules, then M is Artinian;
(3) an amply weak semisimple-supplemented module behaves well with respect to supplements and to homomorphic images.

Received: January 7, 2013

AMS Subject Classification: 16D10, 16D60, 16D70, 16D99

Key Words and Phrases: supplement submodule, weak semisimple-supplement submodule, amply weak semisimple-supplemented module

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