 About 43,500 results  books.google.com Examples of varieties of semigroups with finite bases are: any variety of
commutative semigroups; any periodic ... finite semigroups) if and only if the
variety of all groups in "Si is locally finite: the small locally finite varieties of
groups are ... 

 books.google.com The proof of the next lemma employs uniformly recurrent biinfinite words again.
Lemma 3.6.32. Let E be the set of all idempotents of a semigroup S. If each
subsemigroup eSe, e ∈ E, is locally finite, then the ideal SES is locally finite.
Proof. 

 books.google.com Let G be a group and let F be a field. Then F[G] is regular if and only if G is locally
finite and F has characteristic 0 or a prime that is not the order of an element of G.
Regularity of semigroup algebras was first investigated by Weissglass [BH]. 

 books.google.com A semigroup is said to be periodic if each of its onegenerated subsemigroups is
finite and locally finite if each of its finitely generated subsemigroups is finite. A
variety of semigroups is locally finite if all its members are locally finite. Let A and
... 

 books.google.com (The results for groups are, of course, special cases of the semigroup results.) A
semigroup S is said to be locally finite if every finitely generated subsemigroup of
S is finite. I will say that S is strongly locally finite if there is a function f : Z *  Z*, ... 

 books.google.com A finite nil semigroup is nilpotent, and the classes of locally nilpotent semi
groups and locally finite nil semigroups coincide (see Locally finite semigroup).
An even narrower class is formed by the semigroups with an ascending
annihilator ... 

 books.google.com Note that K [S; 6] is isomorphic to the semigroup Ealgebra K [S] if and only if 6 is
a coboundary. Not unexpectedly more information is obtained when the
semigroup is finite and we now turn our attention to this case. A semigroup is
locally finite ... 

 books.google.com A classical result of Zorn shows that finite groups satisfying an Engel identity are
nilpotent. ... SEMIGROUP IDENTITIES We note that some other group identities
can be studied by combining Zelmanov's work with the theory of powerful ... 

 books.google.com The language of pseudova rieties serves as the unifying organizational principle
in Finite Semigroup Theory. ... one can write down with both sides having length
at most 3, and every subpseudovariety of the locally finite pseudovariety of ... 

 books.google.com Many authors have contributed to this task, in the end determining the existence
of finite bases of identities for all semigroups of these orders. Variety generated
by the semigroup (6) is essentially infinitely based, in the sense that no locally ... 

 