Showing papers on "Idempotence published in 1984"
17 citations
13 citations
8 citations
7 citations
TL;DR: For any positive integer n, a necessary and sufficient condition for an n × n r-circulant over the Boolean algebra B = {0, 1} to be idempotent was given in this paper.
6 citations
6 citations
TL;DR: In this paper, the authors show that an F -algebra with involution is a subdirect product of copies of F if and only if every idempotent in A is symmetric.
Abstract: Let F be a field. If A is an F -algebra with involution that is generated (as a space) by symmetric idempotents, then A is a subdirect product of copies of F if and only if every idempotent in A is symmetric.
2 citations
01 Jan 1984
TL;DR: The biordered sets of semigroups are prime examples of such sets, and in fact provide the motivation for the definition [8] of biordered set as mentioned in this paper, which is a special case of the set of sets of finite and periodic groups.
Abstract: are given of the biordered sets of semigroups which are idempotent-consistent with respect to ker #= (for all x 6 S , (x~~ 2 = x~ ~ implies x~ ~ = e~ ~ for some e e E(S)) and of finite and periodic semigroups. The biordered sets of semigroups are prime examples of biordered sets, and in fact provide the motivation for the definition [8] of