ISBN-13: 9781138065499 / Angielski / Twarda / 2018 / 214 str.
This book is suitable for mathematicians, especially graduate students with an interest in homological algebra and its applications.
Introduction. Preliminaries. Gorenstein projective, Gorenstein injective and Gorenstein flat modules. Gorenstein projective resolutions. Gorenstein injective resolutions. Gorenstein flat precovers and preenvelopes. Connections with Tate (co)homology, Tate-Betti and Tate-Bass numbers. Applications to the category of complexes. Totally acyclic complexes.
Alina Iacob is a professor of mathematics at Georgia Southern University. Her primary research interests are homological and communicative algebra.
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