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Maximal subsemigroups of Lie groups that are total

1987
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Proceedings of the Edinburgh Mathematical Society
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In this section we develop the algebraic machinery necessary for the later developments. Definition 3.1. A subsemigroup M of a group G is called a maximal subsemigroup of G if (i) the only subsemigroups containing M are M and G, and (ii) M is not a subgroup. (Condition (ii) is a technical convenience, insuring the existence of the maximal ideal M*=M\H(M).) Remark 3.2. If M is a maximal subsemigroup of G, then eeM (otherwise consider {e}uM). Lemma 33. Let M be a maximal subsemigroup of G, and T

doi:10.1017/s0013091500026870
fatcat:3v2ofco73jadjpzovvhf6qjf4a