The simplicity of some zero-symmetric and nonzero-symmetric near-rings /
| Main Author: | |
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| Other Authors: | , , |
| Format: | Thesis Book |
| Language: | English |
| Published: |
1993.
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| Subjects: | |
| Online Access: | Link to ProQuest copy Link to OAKTrust copy ProQuest, Abstract |
| Abstract: | In this dissertation the simplicity of some nonzero-symmetric as well as zero-symmetric near-rings is investigated, with emphasis on the relationship between the simplicity of the near-ring, N, and the simplicity of its zero-symmetric subnear-ring, N[0]. The simplicity of near-ring associated with a 2-fold meromorphic product, N = M(G,2,H), is shows to coincide with the simplicity of the near-ring N[0] = M[0](G,2,H), for some choices of G and H. It is also shown that the simplicity of N and N[0] does coincide for some centralizer near-rings, e.g., M[A](G) and M^0[A](G), where A is a group of automorphisms of G, and M[S](G) and M^0[S](G), where S is a finite invers semigroup of endomorphisms of G. |
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| Item Description: | "Major subject: Mathematics." Vita. |
| Physical Description: | v, 64 leaves ; 28 cm |
| Bibliography: | Includes bibliographical references. |