On elemental annihilator rings
1970 ◽
Vol 17
(2)
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pp. 187-188
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Throughout this note A denotes a ring with identity, and “ module ” means “ left unitary module ”. In (2), C. Yohe studied elemental annihilator rings (e.a.r. for brevity). An e.a.r. is defined as a ring in which every ideal is the annihilator of an element of the ring. For example, a semi-simple, Artinian ring is an e.a.r. A is a l.e.a.r. (left elemental annihilator ring) if every left ideal is the left annihilator of an element of the ring. A r.e.a.r. (right elemental annihilator ring) is denned similarly.
1974 ◽
Vol 18
(4)
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pp. 470-473
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1969 ◽
Vol 10
(1)
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pp. 46-51
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2010 ◽
Vol 09
(03)
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pp. 365-381
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2012 ◽
Vol 49
(4)
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pp. 454-465
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1962 ◽
Vol 5
(2)
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pp. 147-149
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2006 ◽
Vol 05
(06)
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pp. 847-854
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2013 ◽
Vol 50
(4)
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pp. 436-453
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2000 ◽
Vol 61
(1)
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pp. 39-52
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