The amalgamated duplication of a ring along a multiplicative-canonical ideal
نویسندگان
چکیده
After recalling briefly the main properties of the amalgamated duplication of a ring R along an ideal I , denoted by R1 I [5], we restrict our attention to the study of the properties of R1 I , when I is a multiplicative canonical ideal of R [9]. In particular, we study when every regular fractional ideal of R1I is divisorial.
منابع مشابه
Amalgamated duplication of some special rings along an ideal
Let be a commutative Noetherian ring and let I be a proper ideal of . D’Anna and Fontana in [6] introduced a new construction of ring, named amalgamated duplication of along I. In this paper by considering the ring homomorphism , it is shown that if , then , also it is proved that if , then there exists such that . Using this result it is shown that if is generically Cohen-Macaulay (resp. gen...
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