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# A CONSTRUCTION OF COMPLETELY PRIME SUBSETS ASSOCIATED WITH IDEMPOTENTS OF A SEMIGROUP WITH APARTNESS

Daniel Abraham Romano
Publikacije Elektrotehničkog fakulteta. Serija Matematika
No. 10 (1999), pp. 21-26
Stable URL: http://www.jstor.org/stable/43666506
Page Count: 6
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## Abstract

This investigation is in constructive algebra. We shall give a construction of completely prime strongly extensional subset M(e) associated with an idempotent e of a semigroup S equiped with an apartness, such that ${G_e} \subseteq \overline {M(e)}$ and e#M(e), and we will give some descriptions of the family {M(e) : e ∊ E(S)}.

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