The Structure of Simple Modules of Birman-Murakami-Wenzl Algebras

Abstract

We study the restriction of simple modules , of Birman-Murakami-Wenzl algebras B ( , ) with being not a root of 1. Precisely, we study the module structure for the restriction of , to B −1 ( , ) and describe the socle and head of the restriction of each simple module completely.

On Nearly Prime Submodules of Unitary Modules

“…Modules over associative rings play important roles in the investigation of ring constructions (see [1,2]). Modules are very important and have been actively investigated (see, for example, [3][4][5][6][7]). Throughout this paper, all rings are associative with identity and all modules are unitary rightmodules.…”