The free idempotent generated locally inverse semigroup
نویسندگان
چکیده
منابع مشابه
Periodic Elements of the Free Idempotent Generated Semigroup on a Biordered Set
We show that every periodic element of the free idempotent generated semigroup on an arbitrary biordered set belongs to a subgroup of the semigroup. The biordered set of a semigroup S is the set of idempotents of S considered as a partial groupoid with respect to the restriction of the multiplication of S to those pairs (e, f) of idempotents such that ef = e , ef = f , fe = e or fe = f . Namboo...
متن کاملEvery Group is a Maximal Subgroup of the Free Idempotent Generated Semigroup over a band
Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several questions from recent papers in the area.
متن کاملA Note on Locally Inverse Semigroup Algebras
Let R be a commutative ring and S a finite locally inverse semigroup. It is proved that the semigroup algebra R S is isomorphic to the direct product of Munn algebras M R GJ , mJ , nJ ;PJ with J ∈ S/J, where mJ is the number of R-classes in J , nJ the number of L-classes in J , and GJ a maximum subgroup of J . As applications, we obtain the sufficient and necessary conditions for the semigroup ...
متن کاملEvery Group Is a Maximal Subgroup of a Naturally Occurring Free Idempotent Generated Semigroup
The study of the free idempotent generated semigroup IG(E) over a biordered set E has recently received a deal of attention. Let G be a group, let n ∈ N with n ≥ 3 and let E be the biordered set of idempotents of the wreath product G ≀ Tn. We show, in a transparent way, that for e ∈ E lying in the minimal ideal of G ≀ Tn, the maximal subgroup of e in IG(E) is isomorphic to G. It is known that G...
متن کاملFree profinite locally idempotent and locally commutative semigroups
This paper is concerned with the structure of semigroups of implicit operations on the pseudovariety LSl of finite locally idempotent and locally commutative semigroups. We depart from a general result of Almeida and Weil to give two descriptions of these semigroups: the first in terms of infinite words, and the second in terms of infinite and bi-infinite words. We then derive some applications...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2017
ISSN: 0037-1912,1432-2137
DOI: 10.1007/s00233-017-9882-5