Gorenstein-projective and semi-Gorenstein-projective modules. II

Ringel CM, Zhang P (2020)
JOURNAL OF PURE AND APPLIED ALGEBRA 224(6): UNSP 106248.

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Abstract / Bemerkung
Let k be a field and q a non-zero element of k. In Part I, we have exhibited a 6-dimensional k-algebra Lambda = Lambda(q) and we have shown that if q has infinite multiplicative order, then Lambda has a 3-dimensional local module which is semi-Gorenstein-projective, but not torsionless, thus not Gorenstein-projective. This Part II is devoted to a detailed study of all the 3-dimensional local Lambda-modules for this particular algebra Lambda. If q has infinite multiplicative order, we will encounter a whole family of 3-dimensional local modules which are semi-Gorenstein-projective, but not torsionless. (C) 2019 Elsevier B.V. All rights reserved.
Stichworte
Gorenstein-projective module; Semi-Gorenstein-projective module; Torsionless module; Reflexive module; t-torsionfree module; (sic)-quiver
Erscheinungsjahr
2020
Zeitschriftentitel
JOURNAL OF PURE AND APPLIED ALGEBRA
Band
224
Ausgabe
6
Art.-Nr.
UNSP 106248
ISSN
0022-4049
eISSN
1873-1376
Page URI
https://pub.uni-bielefeld.de/record/2941604

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Ringel CM, Zhang P. Gorenstein-projective and semi-Gorenstein-projective modules. II. JOURNAL OF PURE AND APPLIED ALGEBRA. 2020;224(6): UNSP 106248.
Ringel, C. M., & Zhang, P. (2020). Gorenstein-projective and semi-Gorenstein-projective modules. II. JOURNAL OF PURE AND APPLIED ALGEBRA, 224(6), UNSP 106248. doi:10.1016/j.jpaa.2019.106248
Ringel, C. M., and Zhang, P. (2020). Gorenstein-projective and semi-Gorenstein-projective modules. II. JOURNAL OF PURE AND APPLIED ALGEBRA 224:UNSP 106248.
Ringel, C.M., & Zhang, P., 2020. Gorenstein-projective and semi-Gorenstein-projective modules. II. JOURNAL OF PURE AND APPLIED ALGEBRA, 224(6): UNSP 106248.
C.M. Ringel and P. Zhang, “Gorenstein-projective and semi-Gorenstein-projective modules. II”, JOURNAL OF PURE AND APPLIED ALGEBRA, vol. 224, 2020, : UNSP 106248.
Ringel, C.M., Zhang, P.: Gorenstein-projective and semi-Gorenstein-projective modules. II. JOURNAL OF PURE AND APPLIED ALGEBRA. 224, : UNSP 106248 (2020).
Ringel, Claus Michael, and Zhang, Pu. “Gorenstein-projective and semi-Gorenstein-projective modules. II”. JOURNAL OF PURE AND APPLIED ALGEBRA 224.6 (2020): UNSP 106248.