Let R and S be two commutative rings, J be an ideal of S and f : R → S be a ring homomorphism. The amalgamation of R and S along J with respect to f, denoted by R ⋈f J, is the special subring of R × S defined by R ⋈f J = {(a, f(...
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https://www.riss.kr/link?id=A107342293
2021
English
SCOPUS,KCI등재,ESCI
학술저널
1-10(10쪽)
0
상세조회0
다운로드다국어 초록 (Multilingual Abstract)
Let R and S be two commutative rings, J be an ideal of S and f : R → S be a ring homomorphism. The amalgamation of R and S along J with respect to f, denoted by R ⋈f J, is the special subring of R × S defined by R ⋈f J = {(a, f(...
Let R and S be two commutative rings, J be an ideal of S and f : R → S be a ring homomorphism. The amalgamation of R and S along J with respect to f, denoted by R ⋈f J, is the special subring of R × S defined by R ⋈f J = {(a, f(a) + j) | a ∈ R, j ∈ J}. In this paper, we study some basic properties of a special kind of R ⋈f J-modules, called the amalgamation of M and N along J with respect to , and defined by M ⋈ JN := {(m, (m) + n) | m ∈ M and n ∈ JN}, where : M → N is an R-module homomorphism. The new results generalize some known results on the amalgamation of rings and the duplication of a module along an ideal.
ON DUAL ZARISKI TOPOLOGY OVER GRADED COMULTIPLICATION MODULES
DEGENERATE POLYEXPONENTIAL FUNCTIONS AND POLY-EULER POLYNOMIALS
ANNIHILATING PROPERTY OF ZERO-DIVISORS