RT journal article
T1 Fractional skew monoid rings
A1 Ara, P.
A1 González-Barroso, M.A.
A1 Goodearl, K.R.
A1 Pardo Espino, Enrique
A2 Matemáticas
K1 Skew monoid ring
K1 Purely infinite simple ring
K1 Leavitt algebra
AB Given an action α of a monoid T on a ring A by ring endomorphisms, and an Ore subset S of T, a general construction of a fractional skew monoid ring  is given, extending the usual constructions of skew group rings and of skew semigroup rings. In case S is a subsemigroup of a group G such that G=S−1S, we obtain a G-graded ring  with the property that, for each s∈S, the s-component contains a left invertible element and the s−1-component contains a right invertible element. In the most basic case, where  and , the construction is fully determined by a single ring endomorphism α of A. If α is an isomorphism onto a proper corner pAp, we obtain an analogue of the usual skew Laurent polynomial ring, denoted by A[t+,t−;α]. Examples of this construction are given, and it is proven that several classes of known algebras, including the Leavitt algebras of type (1,n), can be presented in the form A[t+,t−;α]. Finally, mild and reasonably natural conditions are obtained under which  is a purely infinite simple ring
PB Elsevier
SN 0021-8693
YR 2004
FD 2004-01-01T00:00:00Z
LK http://hdl.handle.net/10498/16074
UL http://hdl.handle.net/10498/16074
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026