On the symmetric algebra of quotients of a C*-algebra
1990 ◽
Vol 32
(3)
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pp. 377-379
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Keyword(s):
Let R be a semiprime ring (possibly without 1). The symmetric ring of quotients of R is defined as the set of equivalence classes of essentially defined double centralizers (ƒ, g) on R; see [1], [8]. So, by definition, ƒ is a left R-module homomorphism from an essential ideal I of R into R, g is a right R-module homomorphism from an essential ideal J of R into R, and they satisfy the balanced condition ƒ(x)y = xg(y) for x ∈ Iand y ∈ J. This ring was used by Kharchenko in his investigations on the Galois theory of semiprime rings [4] and it is also a useful tool for the study of crossed products of prime rings [7]. We denote the symmetric ring of quotients of a semiprime ring R by Q(R).
2019 ◽
Vol 63
(1)
◽
pp. 193-216
1987 ◽
Vol 30
(1)
◽
pp. 92-101
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Keyword(s):
2009 ◽
Vol 2009
◽
pp. 1-6
1973 ◽
Vol 16
(3)
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pp. 429-431
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2014 ◽
Vol 96
(3)
◽
pp. 326-337
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1984 ◽
Vol 31
(1-3)
◽
pp. 139-184
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