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Baer–Kaplansky Theorem for Modules over Non-commutative Algebras

Derya Keskin Tutuncu|Gabriella D’Este
경북대학교 자연과학대학 수학과|2021.06|Kyungpook Mathematical Journal|제61권 제2호|pp. 213-222

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참고문헌

키워드

Baer-Kaplansky theoremquivers and representations
주제분류수학

초록

In this paper we investigate the Baer-Kaplansky theorem for module classes on algebras of finite representation types over a field. To do this we construct finite dimensional quiver algebras over any field.

Abstract

In this paper we investigate the Baer-Kaplansky theorem for module classes on algebras of finite representation types over a field. To do this we construct finite dimensional quiver algebras over any field.

참고문헌 (11)

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  3. G. D’Este, "Pseudo projective modules which are not quasi projective and quivers", Taiwanese J. Math, 22, pp.1083~1090 (2018)
  4. L. Fuchs, "Infinite abelian groups II, Pure and Applied Mathematics 36-II" (1973), Academic Press
  5. G. Ivanov, "Generalizing the Baer-Kaplansky theorem", J. Pure Appl. Algebra, 133, pp.107~115 (1998)
  6. G. Ivanov, "A characterization of FGC rings", Rocky Mountain J. Math, 32, pp.1485~1492 (2002)
  7. D. Keskin TÜTÜNCÜ, "On Baer-Kaplansky classes of modules", Algebra Colloq, 24, pp.603~610 (2017)
  8. K. Morita, "Category-isomorphisms and endomorphism rings of modules", Trans. Amer. Math. Soc, 103, pp.451~469 (1962)
  9. C. M. Ringel, "Tame Algebras and Integral Quadratic Forms" (1984), Springer-Verlag
  10. C. M. Ringel, "Infinite length modules, Trends Math", pp.1~73 (2000), Birkhauser
  11. R. Schiffler, "Quiver Representations" (2014), Springer International Publishing

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