Special Principal Ideal Rings and Absolute Subretracts
1991 ◽
Vol 34
(3)
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pp. 364-367
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AbstractA ring R is said to be an absolute subretract if for any ring S in the variety generated by R and for any ring monomorphism f from R into S, there exists a ring morphism g from S to R such that gf is the identity mapping. This concept, introduced by Gardner and Stewart, is a ring theoretic version of an injective notion in certain varieties investigated by Davey and Kovacs.Also recall that a special principal ideal ring is a local principal ring with nonzero nilpotent maximal ideal. In this paper (finite) special principal ideal rings that are absolute subretracts are studied.
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2016 ◽
Vol 15
(09)
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pp. 1650160
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2019 ◽
Vol 18
(02)
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pp. 1950023
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2011 ◽
Vol 2
(3)
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pp. 16
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2019 ◽
Vol 19
(10)
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pp. 2050185
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2007 ◽
Vol 06
(05)
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pp. 789-799
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1970 ◽
Vol 13
(2)
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pp. 245-247
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