Tight Representations of 0- ð ¸ -Unitary Inverse Semigroups

Bahman Tabatabaie Shourijeh and Asghar Jokar

Abstract and Applied Analysis, 2011, vol. 2011, 1-6

Abstract:

We study the tight representation of a semilattice in { 0 , 1 } by some examples. Then we introduce the concept of the complex tight representation of an inverse semigroup 𠑆 by the concept of the tight representation of the semilattice of idempotents ð ¸ of 𠑆 in { 0 , 1 } . Specifically we describe the tight representation of a 0- ð ¸ -unitary inverse semigroup and prove that if 𠜎 is a tight semilattice representation of the 0- ð ¸ -unitary inverse semigroup 𠑆 in { 0 , 1 } , then 𠜎 is a complex tight representation.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:353584

DOI: 10.1155/2011/353584

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