On semigroups with involution
نویسندگان
چکیده
منابع مشابه
On centralizers of prime rings with involution
Let $R$ be a ring with involution $*$. An additive mapping $T:Rto R$ is called a left(respectively right) centralizer if $T(xy)=T(x)y$ (respectively $T(xy)=xT(y)$) for all $x,yin R$. The purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.
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A free semigroup with involution (FSI) is essentially the set of words over a given alphabet plus an operator which reverses words. The paper introduces equations in FSI and show that they are the right objects to deal with when studying the complexity of equations in free groups. On these lines, we generalize to FSI several results valid for word equations, like the overlapping lemma, the 2O(|...
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The main result of the paper is the reduction of the problem of satisfiability of equations in free groups to the satisfiability of equations in free semigroups with anti-involution (SGA), by a non-deterministic polynomial time transformation. A free SGA is essentially the set of words over a given alphabet plus an operator which reverses words. We study equations in free SGA, generalizing seve...
متن کاملon centralizers of prime rings with involution
let $r$ be a ring with involution $*$. an additive mapping $t:rto r$ is called a left(respectively right) centralizer if $t(xy)=t(x)y$ (respectively $t(xy)=xt(y)$) for all $x,yin r$. the purpose of this paper is to examine the commutativity of prime rings with involution satisfying certain identities involving left centralizers.
متن کامل2-local Mappings on Algebras with Involution
We investigate 2-local ∗-automorphisms, 2-local ∗-antiautomorphisms, and 2-local Jordan ∗-derivations on certain algebras with involution.
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1993
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700015495