Generalized Groups that Distribute Over Stars
نویسندگان
چکیده
منابع مشابه
Generalized Groups that Distribute over Stars
In the paper “Groups that Distribute over Mathematical Structures”, [5], we stated that a group (S, ·) on a set S left (or right) distributes over an arbitrary mathematical structure (S, ∗) on the same set S if and only if respectively for all fixed t ∈ S the permutation Lt (x) = t · x (or Rt (x) = x · t) is a similarity mapping on (S, ∗). A similarity mapping f on (S, ∗) is a permutation on S ...
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Suppose (S, ∗) is a mathematical structure on a set S. As examples, (S, ∗) might be a topological space on S, a topological group on S, an n-ary operator on S, an n-ary relation on S or a Steiner triple system on S. A similarity mapping on (S, ∗) is a permutation on S that preserves the structure of (S, ∗). Such mappings f : (S, ∗) → (S, ∗) are called by different names. As examples, f might be...
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on S, an n-ary operator on S or a Steiner triple system on S. A similarity mapping on (S, ∗) is a permutation of S that preserves the structure of (S, ∗) . Such mappings f : (S, ∗) → (S, ∗) are called by different names. As examples, f might be called a homeomorphism or an automorphism on (S, ∗). Suppose (S, ·) is a group on S. For each t in S, the left and right translations on S are permutati...
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ژورنال
عنوان ژورنال: Missouri Journal of Mathematical Sciences
سال: 2012
ISSN: 0899-6180
DOI: 10.35834/mjms/1352138560