RIGID RESOLUTION OF A FINITELY GENERATED MODULE OVER A REGULAR LOCAL RING

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SHARIFAN L.; RAHMATI F.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2010 | Volume:36 | Issue:2 Page(s): 85-97

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Title

RIGID RESOLUTION OF A FINITELY GENERATED MODULE OVER A REGULAR LOCAL RING

Author(s)

SHARIFAN L. | RAHMATI F. | Issue Writer Certificate

Keywords

MINIMAL FREE RESOLUTION

FILTERED MODULE

ASSOCIATED GRADED MODULE

COMPONENTWISE LINEAR MODULE

GENERIC INITIAL IDEAL

KOSZUL MODULE

Abstract

Let M be a finitely generated module over a regular local ring (R, n), and let M = {Mi} be an n-stable filtration on M. As a consequence of a recent result by Rossi and Sharifan in [14], we prove that if the i-th Betti numbers of M and (grM({M}) coincide with each other, then for each j ³ i the j-th Betti numbers of them are the same and Syzi(M) is a KOSZUL MODULE provided that Syzi(grM(M) is component wise linear.

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APA: Copy

SHARIFAN, L., & RAHMATI, F.. (2010). RIGID RESOLUTION OF A FINITELY GENERATED MODULE OVER A REGULAR LOCAL RING. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 36(2), 85-97. SID. https://sid.ir/paper/627911/en

Vancouver: Copy

SHARIFAN L., RAHMATI F.. RIGID RESOLUTION OF A FINITELY GENERATED MODULE OVER A REGULAR LOCAL RING. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2010;36(2):85-97. Available from: https://sid.ir/paper/627911/en

IEEE: Copy

L. SHARIFAN, and F. RAHMATI, “RIGID RESOLUTION OF A FINITELY GENERATED MODULE OVER A REGULAR LOCAL RING,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 36, no. 2, pp. 85–97, 2010, [Online]. Available: https://sid.ir/paper/627911/en

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