Rings with Effects
نویسنده
چکیده
An e-ring is a pair (R,E) consisting of an associative ring R with unity 1 together with a subset E ⊆ R of elements, called effects, with properties suggested by the so-called effect operators on a Hilbert space. We establish the basic properties of e-rings, investigate commutative e-rings called c-rings, relate certain c-rings called b-rings to Boolean algebras, and prove a structure theorem for b-rings. AMS Classification: Primary 06F25. Secondary 06F20, 46L05, 03G05.
منابع مشابه
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تاریخ انتشار 2006