THE CONCEPT OF (I; J)-COHEN{MACAULAY MODULES

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AGHAPOURNAHR M.; AHMADI AMOLI KH.; SADEGHI Y.

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Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2015 | Volume:3 | Issue:1 Page(s): 1-10

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Information Journal Paper

Title

THE CONCEPT OF (I; J)-COHEN{MACAULAY MODULES

Author(s)

AGHAPOURNAHR M. | AHMADI AMOLI KH. | SADEGHI Y. | Issue Writer Certificate

Keywords

Local cohomology modules dened by a pair of ideals

System of ideals

Depth of a pair of ideals

(I;J)-Cohen{Macaulay modules

Cohen{Macaulay modules

Abstract

generalization of the notion of depth of an ideal on a module is introduced by applying the concept of local cohomology modules with respect to a pair of ideals. The concept of (I; J)-Cohen{Macaulay modules is also introduced as a generalization of the concept of Cohen{Macaulay modules. This kind of modules is di erent from the Cohen{Macaulay modules, as shown in an example. Also an Artinian result is given for such modules.

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APA: Copy

AGHAPOURNAHR, M., AHMADI AMOLI, KH., & SADEGHI, Y.. (2015). THE CONCEPT OF (I; J)-COHEN{MACAULAY MODULES. JOURNAL OF ALGEBRAIC SYSTEMS, 3(1 ), 1-10. SID. https://sid.ir/paper/268384/en

Vancouver: Copy

AGHAPOURNAHR M., AHMADI AMOLI KH., SADEGHI Y.. THE CONCEPT OF (I; J)-COHEN{MACAULAY MODULES. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2015;3(1 ):1-10. Available from: https://sid.ir/paper/268384/en

IEEE: Copy

M. AGHAPOURNAHR, KH. AHMADI AMOLI, and Y. SADEGHI, “THE CONCEPT OF (I; J)-COHEN{MACAULAY MODULES,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 3, no. 1 , pp. 1–10, 2015, [Online]. Available: https://sid.ir/paper/268384/en

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