×

The endomorphism ring theorem for Frobenius extensions. (English) Zbl 0162.33803


MSC:

16S50 Endomorphism rings; matrix rings
16L60 Quasi-Frobenius rings
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Bass, H.: The Morita theorems. University of Oregon: Lecture notes 1962.
[2] Cartan, H., andS. Eilenberg: Homological algebra. Princeton 1956. · Zbl 0075.24305
[3] Kasch, F.: Grundlagen einer Theorie der Frobeniuserweiterungen. Math. Ann.127, 453-474 (1954). · Zbl 0055.26301 · doi:10.1007/BF01361137
[4] Kasch, F.: Projektive Frobenius-Erweiterungen. Sitzungsber. Heidelberger Adad. Wiss.1960/1961, 89-109.
[5] MacLane, S.: Homology. Berlin-Göttingen-Heidelberg: Springer 1963.
[6] Morita, K.: Duality for modules and its applications to the theory of rings with minimum condition. Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A,6, No. 150, 83-142 (1958). · Zbl 0080.25702
[7] ?: Adjoint pairs of functors and Frobenius extensions. Sci. Rep. Tokyo Kyoiku Daigaku, Sect. A,9, No. 205, 40-71 (1965). · Zbl 0163.28602
[8] Müller, B.: Quasi-Frobenius-Erweiterungen. Math. Zeitschr.85, 346-368 (1964). · Zbl 0203.04403
[9] ?: Quasi-Frobenius-Erweiterungen, II. Math. Zeitschr.88, 380-409 (1965). · Zbl 0178.36703 · doi:10.1007/BF01112222
[10] Nakayama, T., andT. Tsuzuku: On Frobenius extensions, I, II. Nagoya Math. J.17, 89-110 (1960);19, 127-148 (1961). · Zbl 0204.05101
[11] ? Correction to our paper ?On Frobenius extensions, II?. Nagoya Math. J.20, 205 (1962).
[12] Onodera, T.: Some studies on projective Frobenius extensions. J. Fac. Sci. Hokkaido Univ.18, 89-107 (1964). · Zbl 0127.25801
[13] Pareigis, B.: Einige Bemerkungen über Frobenius-Erweiterungen. Math. Ann.153, 1-13 (1964). · Zbl 0122.04005 · doi:10.1007/BF01361702
[14] ?: Vergessende Funktoren und Ringhomomorphismen. Math. Zeitschr.93, 265-275 (1966). · Zbl 0146.02503 · doi:10.1007/BF01111937
[15] Willard, E. R.: Properties of projective generators. Math. Ann.158, 352-364 (1965). · Zbl 0131.27303 · doi:10.1007/BF01360178
[16] Cohn, P. M.: Morita equivalence and duality, Mathematics Notes, Queen Mary College, University of London, 1966. · Zbl 0146.20401
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.