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Partial Actions and Partial Fixed Rings

Communications in Algebra, 2010
In this article, we consider a partial action α of a finite group G on a ring R which possesses an enveloping action. Properties of the fixed subring R α are studied. Among other results, under some assumptions, we describe the prime radical, the Jacobson radical, and the upper nil radical.
Jesus Avila, MIGUEL Ferrero
exaly   +2 more sources

Partial Actions of Groups on Cell Complexes

Monatshefte Fur Mathematik, 2003
Given a 2-complex \(L\), let \(I(L)\) denote the inverse monoid of partial automorphisms of \(L\), that is isomorphisms between subcomplexes of \(L\), with the usual composition of relations. A partial action of a group \(G\) on \(L\) is a dual prehomomorphism \(f:G \to I(L)\), that means a map satisfying the properties: \(f(1) = \text{id}_L\); \(f(g^{-
Benjamin Steinberg, Steinberg Benjamin
exaly   +3 more sources

PARTIAL ACTIONS OF GROUPS

International Journal of Algebra and Computation, 2004
A partial action of a group G on a set X is a weakening of the usual notion of a group action: the function G×X→X that defines a group action is replaced by a partial function; in addition, the existence of g·(h·x) implies the existence of (gh)·x, but not necessarily conversely.
Johannes Kellendonk, Mark V. Lawson
openaire   +2 more sources

Actions and partial actions of inductive constellations

Semigroup Forum, 2010
A semigroup \(S\) possessing a unary operation \(^+\) is called a `left restriction semigroup' if (in addition to the associative law) it satisfies the following identities: \(s^+s=s\); \(s^+t^+=t^+s^+\); \((s^+t)^+=s^+t^+\); \(st^+=(st)^+s\). Left restriction semigroups possess a natural partial order given by \(s\leq t\Leftrightarrow s=s^+t\).
Gould, Victoria, Hollings, Christopher
openaire   +2 more sources

PARTIAL GROUP ACTIONS ON SEMIALGEBRAS

Asian-European Journal of Mathematics, 2012
For defining a K-semialgebra A, we use Katsov's tensor product which makes the category K-Smod monoidal. Further, if A is a K-semialgebra then AΔ is a KΔ-algebra and A embeds in AΔ. The subtractive and strong partial actions of a group are defined on A.
Sharma, Ram Parkash, Anu, Singh, Nirmal
openaire   +2 more sources

Compiling actions by partial evaluation

Proceedings of the conference on Functional programming languages and computer architecture, 1993
Action semantics, compiler generation, partial evaluation, binding-time ...
Bondorf, Anders, Palsberg, Jens
openaire   +1 more source

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