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Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. This duality exhibits a certain asymmetry. While the theory of extending modules is well documented in monographs and text books, the purpose of this monograph is to provide a thorough study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules.
Targeted Genome Engineering via CRISPR/Cas9 in Plants provides in-depth insights into the use of the emerging "CRISPR/Cas9" technology for precise genome editing. This technology has revolutionized plant science research particularly for crop improvement owing to its simplicity and efficiency. The book provides a wide range of CRISPR/Cas9 gene editing techniques for a variety of plants. Chapters include the latest applications of CRISPR/Cas9 system in connection with abiotic stresses, biotic stresses, biofortification, yield improvement, disease modelling and prognosis and molecular diagnosis. Targeted Genome Engineering via CRISPR/Cas9 in Plants also evaluates various regulatory and ethical...
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The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006. The conference was dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory. While some of these fields have a long tradition, others represented here have emerged in recent years.
The papers in this volume contain results in active research areas in the theory of rings and modules, including non commutative and commutative ring theory, module theory, representation theory, and coding theory.
Articles in this volume are based on talks given at the International Conference on Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications. The conference provided researchers in mathematics with the opportunity to discuss new developments in these rapidly growing fields. This book contains several excellent articles, both expository and original, with new and significant results. It is suitable for graduate students and researchers interested in Ring Theory,Diagram Algebras and related topics.