Threads without idempotents

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Threads without Idempotents

If a thread S has no idempotents and if S2 = S, then S is iseomorphic with the real interval (0, 1) under ordinary multiplication [2, Corollary 5.6]. Although the result is not nearly as pleasing as the special case just quoted, we shall give here a description of any thread without idempotents. Recall from [l] that a thread is a connected topological semigroup in which the topology is that ind...

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Rings with Many Idempotents

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Higher Lie idempotents

Let T (X) be the tensor bialgebra over an alphabet X. It is a graded connected cocommutative bialgebra, canonically isomorphic to the envelopping bialgebra of the free Lie algebra over X, Lie(X). The subalgebra of its convolution algebra generated by the projections arising from the graduation is also an algebra for the composition of morphisms and is anti-isomorphic as such with the direct sum...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1961

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1961-0126833-2