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| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA251. FCT 97705 (Browse shelf) | 1 | Available |
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| QA251. FCT 97205 Minimal free resolutions over complete intersections | QA251. FCT 97425 Computational linear and commutative algebra | QA251. FCT 97469 Groups, matrices, and vector spaces | QA251. FCT 97705 Formal matrices | QA251. FCT 97716 Algebraic theory of locally nilpotent derivations | QA251. FCT 97773 Applications of computer algebra | QA251. FCT 98111 Quantum groups and noncommutative geometry |
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This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings. Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, Formal Matrices is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra.
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