Quasi-Frobenius Algebras

Yurij A. Drozd and Vladimir V. Kirichenko
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Yurij A. Drozd: Kiev Taras Shevchenko University, Faculty of Mechanics and Mathematics
Vladimir V. Kirichenko: Kiev Taras Shevchenko University, Faculty of Mechanics and Mathematics

Chapter 9 in Finite Dimensional Algebras, 1994, pp 159-173 from Springer

Abstract: Abstract The duality which exists between the categories of the right and left modules plays an important role in the theory of finite dimensional algebras. In the present chapter we shall introduce this duality, investigate its properties and apply the obtained results to the study of two classes of algebras, viz. to quasi-Frobenius algebras introduced into the theory by T. Nakayama and to serial algebras, or principal ideal algebras, which were studied first by K. Asano.

Keywords: Direct Summand; Left Ideal; Division Algebra; Uniserial Algebra; Injective Module (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-3-642-76244-4_9

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