Anti-homomorphism in Rings
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ABSTRACTIn this chapter, the concept of anti-homomorphisms in Rings is studied and many results are established.INTRODUCTIONThe concept of anti–homomorphism in groups and rings is not found much in the literature. Authors like Jocobson Neal McCoy and Zariski and Samul have touched this concept in a lighter way. The reason is perhaps that the composition of two anti-homomorphisms is not an anti-homomorphism, but a homomorphism. This discouraged the mathematicians to move further. In 2006, G. Gopa ...
An introduction to anti-homomorphisms of groups
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It is known that the homomorphisms between group preserve products. However, the anti-homomorphisms between groups invert products in contrast to the homomorphisms. In this article, we briefly introduce the notion of anti-homomorphisms of groups, and we will study anti-homomorphisms of rings in the next article.1. Anti-homomorphisms of groups.In this section, all groups are not necessarily abelian. For simplicity, we will simply call anti-homomorphism instead of anti-homomorphism of groups.Defin ...