Anisimov's Theorem for inverse semigroups
نویسنده
چکیده
The idempotent problem of a finitely generated inverse semi-group is the formal language of all words over the generators representing idempotent elements. This note proves that a finitely generated inverse semigroup with regular idempotent problem is necessarily finite. This answers a question of Gilbert and Noonan Heale, and establishes a gen-eralisation to inverse semigroups of Anisimov's Theorem for groups.
منابع مشابه
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ورودعنوان ژورنال:
- IJAC
دوره 25 شماره
صفحات -
تاریخ انتشار 2015