On Subdirect Decomposition and Varieties of Some Rings with Involution
نویسندگان
چکیده
We give a complete description of subdirectly irreducible rings with involution satisfying x = x for some positive integer n. We also discuss ways to apply this result for constructing lattices of varieties of rings with involution obeying an identity of the given type. MSC 2000: 16W10, 08B26, 08B15
منابع مشابه
On Subdirect Decomposition and Varieties of Some Rings with Involution. Ii
As it is clearly suggested by the title, this note is a continuation of [1]. In the latter paper, the authors start from the famous theorem of N. Jacobson which asserts that every ring satisfying the identity x = x for some n ≥ 1 must be commutative (though Jacobson’s result is more general: the existence of a positive integer n(a) for each a ∈ R such that a = a suffices to conclude that the ri...
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