Centralizer near-rings on infinite groups /
| Main Author: | |
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| Other Authors: | , , |
| Format: | Thesis Book |
| Language: | English |
| Published: |
[College Station, Tex.] :
Zeller,
1980.
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| Subjects: | |
| Online Access: | Link to ProQuest copy Link to OAKTrust copy |
| Abstract: | This work is a continuation of recent work done by Maxson and Smith on finite centralizer near-rings. Our attempt to generalize results which are known to hold for finite centralizer near-rings leads us naturally to a condition on stabilizers of elements of a group which we call the finiteness condition. Assuming this condition a number of recent results are extended to a large class of near-rings. In particular, semisimple centralizer near-rings with finiteness condition are completely characterized. Further, simple centralizer near-rings with finiteness condition are shown to be equivalent to complete 2-primitive centralizer near-rings. Radicals of certain centralizer near-rings are characterized, and all isomorphisms of monogenic centralizer near-rings are determined. Finally, the previous material is applied to the problem of determining when a centralizer near-ring is, in fact, a ring. |
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| Item Description: | "Major subject: Mathematics." Vita. |
| Physical Description: | v, 65 leaves ; 29 cm |
| Bibliography: | Includes bibliographical references (leaves 63-64). |