Results 11 to 20 of about 1,840,210 (203)

GROUPS WITH ABELIAN CENTRALIZERS.

, 1972
GROUPS WITH ABELIAN ...
DAVID MORTON. ROCKE (7979927)
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Centralizers in pseudo-finite groups

, 2021
The role of finite centralizers of involutions in pseudo-finite groups is analyzed. It is shown that a pseudo-finite group admitting a definable involutory automorphism fixing only finitely many elements is finite-by-abelian-by-finite.
Palacín, Daniel, Hempel, Nadja, Palacín Cruz, Daniel   +2 more
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A characterization of Jordan left ∗-centralizers in rings with involution [PDF]

, 2017
Let R be a ring with involution ∗. An additive mapping T : R → R is called a left ∗-centralizer (resp. Jordan left ∗-centralizer) if T(xy) = T(x)y∗ (resp. T(x2) = T(x)x∗) holds for all x,y ∈ R, and a reverse left ∗-centralizer if T(xy) = T(y)x∗ holds for
Alahamdi, Adel, Adel Alahamdi, Abdul Nadim Khan, Alhazmi, Husain, Nadim Khan, Abdul, Ali, Shakir, Shakir Ali, Husain Alhazmi   +7 more
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Second centralizers of partial transformations [PDF]

, 2001
summary:Second centralizers of partial transformations on a finite set are determined. In particular, it is shown that the second centralizer of any partial transformation $\alpha $ consists of partial transformations that are locally powers of $\alpha $
Konieczny, Janusz
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Nilpotency in groups with the minimal condition on centralizers [PDF]

, 1999
The Sylow-2-subgroups of a periodic group with minimal condition on centralizers are locally finite and conjugate. The same holds for the Sylow-p-subgroups for any prime p, provided the subgroups generated by any two p-elements of the group are finite ...
Wagner, Frank O., Wagner, Frank O
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On centralizers of semiprime rings [PDF]

, 1991
summary:Let $\Cal K$ be a semiprime ring and $T:\Cal K\rightarrow \Cal K$ an additive mapping such that $T(x^2)=T(x)x$ holds for all $x\in \Cal K$. Then $T$ is a left centralizer of $\Cal K$. It is also proved that Jordan centralizers and centralizers of
Zalar, Borut
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A characterization of jordan left ∗ -centralizers via skew lie and jordan products

, 2022
WOS:000744369500001Let n≥ 1 be a fixed integer and R be a ring with involution ‘∗ ’. For any two elements x and y in R, the n-skew Lie product and n-skew Jordan product are given by ▿ [x, y] n= ▿ [x, ▿ [x, y] n-1] with ▿[x,y]0=y,▿[x,y]1=▿[x,y]=xy-yx∗,▿[x,
Abbasi, Adnan, Mozumder, Muzibur R., Ali, Shakir, Rahman Mozumder, Muzibur, Abdioğlu, Cihat   +4 more
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Additivity of Lie Centralizers on Triangular Rings [PDF]

, 2011
We introduce the definition of Lie centralizers and investigate theadditivity of Lie centralizers on triangular rings.
Jing, Wu
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Left centralizers on rings that are not semiprime

, 2011
A (left) centralizer for an associative ring R is an additive map satisfying T(xy) = T(x)y for all x, y in R. A (left) Jordan centralizer for an associative ring R is an additive map satisfying T(xy+yx) = T(x)y + T(y)x for all x, y in R.
Irvin R. Hentzel, El-Sayiad, M.S., M.S. Tammam El-Sayiad, Hentzel, Irvin   +3 more
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Centralizers on prime and semiprime rings [PDF]

, 1997
summary:The purpose of this paper is to investigate identities satisfied by centralizers on prime and semiprime rings. We prove the following result: Let $R$ be a noncommutative prime ring of characteristic different from two and let $S$ and $T$ be left ...
Vukman, Joso, Joso Vukman
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