Quotient Rings of a Class of Lattice-Ordered-Rings
1973 ◽
Vol 25
(3)
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pp. 627-645
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Keyword(s):
Qf Ring
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An f-ring R with zero right annihilator is called a qf-ring if its Utumi maximal left quotient ring Q = Q(R) can be made into and f-ring extension of R. F. W. Anderson [2, Theorem 3.1] has characterized unital qf-rings with the following conditions: For each q ∈ Q and for each pair d1, d2 ∈ R+ such that diq ∈ R(i) (d1q)+ Λ (d2q)- = 0, and(ii) d1 Λ d2 = 0 implies (d1q)+ Λ d2 = 0.We remark that this characterization holds even when R does not have an identity element.
1972 ◽
Vol 24
(5)
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pp. 835-850
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Keyword(s):
2014 ◽
Vol 3
(1)
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pp. 17
Keyword(s):
1971 ◽
Vol 14
(4)
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pp. 517-529
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Keyword(s):
1971 ◽
Vol 14
(4)
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pp. 491-494
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Keyword(s):
1977 ◽
Vol 24
(3)
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pp. 339-349
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Keyword(s):
1977 ◽
Vol 29
(5)
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pp. 914-927
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Keyword(s):
1995 ◽
Vol 18
(2)
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pp. 311-316
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Keyword(s):