×

zbMATH — the first resource for mathematics

Isomorphisms and anti-isomorphisms of endomorphism rings of graded modules close to free ones. (English. Russian original) Zbl 1197.16043
Dokl. Math. 79, No. 2, 255-257 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 425, No. 5, 583-586 (2009).
The results on (anti-)isomorphisms of endomorphism rings of modules are well known. In this paper the authors consider isomorphisms and anti-isomorphisms of endomorphism rings of graded modules that are close to free ones.

MSC:
16W20 Automorphisms and endomorphisms
16S50 Endomorphism rings; matrix rings
16W50 Graded rings and modules (associative rings and algebras)
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] R. Baer, Linear Algebra and Projective Geometry (Academic, New York, 1952; Inostrannaya Literatura, Moscow, 1955).
[2] I. Kaplansky, Infinite Abelian Groups. (Univ. of Michigan, 1954). · Zbl 0057.01901
[3] K. Morita, Trans. Am. Math. Soc. 103, 451–469 (1961).
[4] M. L. Bolla, J. Algebra 87, 261–281 (1984). · Zbl 0554.16009
[5] A. V. Mikhalev, Vestn. Mosk. Gos. Univ., Ser. 1: Mat. Mekh., No. 1, 20–27 (1989).
[6] K. G. Wolfson, Math. Z. 202, 151–159 (1989). · Zbl 0655.16016
[7] K. I. Beidar and A. V. Mikhalev, Tr. Semin. im. I.G. Petrovskogo 18, 338–344 (1996).
[8] C. Nąstąsescu and F. van Oystaeyen, Graded Ring Theory (North-Holland, Amsterdam, 1982).
[9] I. N. Balaba, Usp. Mat. Nauk 42 (3(255)), 177–178 (1987).
[10] I. N. Balaba, Fundam. Prikl. Mat. 13(1), 3–10 (2007).
[11] I. N. Balaba, Chebyshev. Sb. 6(4(16)), 6–23 (2005).
[12] M. L. Racine, J. Algebra 206, 588–614 (1998). · Zbl 0915.16036
[13] Yu. A. Bahturin, S. K. Sehgal, and M. V. Zaicev, J. Algebra 241, 677–698 (2001). · Zbl 0988.16033
[14] S. Dąscąlescu, B. Ion, C. Nąstąsescu, and J. Rios Montes, J. Algebra 220, 709–728 (1999). · Zbl 0947.16028
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.