The classical left regular left quotient ring of a ring and its semisimplicity criteria
نویسندگان
چکیده
منابع مشابه
The classical left regular left quotient ring of a ring and its semisimplicity criteria
Let R be a ring, CR and ′CR be the set of regular and left regular elements of R (CR ⊆ ′CR). Goldie’s Theorem is a semisimplicity criterion for the classical left quotient ring Ql,cl(R) := C −1 R R. Semisimplicity criteria are given for the classical left regular left quotient ring ′Ql,cl(R) := ′C −1 R R. As a corollary, two new semisimplicity criteria for Ql,cl(R) are obtained (in the spirit o...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2017
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498817501031