New Advances in Algebra, Ring Theory and Homological Algebra, 2nd Edition
The development of associative algebra during the last century has resulted in the emergence of numerous theories or specialties that have offered solutions to many of the needs of the society in which we live, increasingly developed from a technological point of view. These needs fall into two broa...
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| Format: | Online |
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| Language: | English |
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MDPI - Multidisciplinary Digital Publishing Institute
2025
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| Online Access: | ONIX_20250812T110751_9783725846016_558 |
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| description | The development of associative algebra during the last century has resulted in the emergence of numerous theories or specialties that have offered solutions to many of the needs of the society in which we live, increasingly developed from a technological point of view. These needs fall into two broad groups: purely technological needs and theoretical needs associated with developments in both applied algebra and other branches of mathematics. After all, it is not unreasonable to think that algebra is something like the “mathematics of mathematics”. There are many branches of algebra whose contributions solve problems posed by the scientific challenges arising from the advancement of technology. Two of them also stand out for their popularity in society: cryptography and coding theory. In addition, from a theoretical point of view, the momentum that some disciplines have experienced in the last 20 years is remarkable. Thus, homological algebra has been given a big push with the emergence of the different classes of Gorenstein modules and, in recent years, in particular, the relative Gorenstein modules. Moreover, the emergence of C*-algebras has had a huge impact on many branches of mathematics and physics, and, of course, one cannot forget the very active branches of modules over non-commutative rings and derivations in algebras, with immense applications at all times. We are therefore pleased to present this Special Issue of Mathematics as a tool to share recent and compelling advancements in the branches of homological algebra, module theory, C*-algebras, coding theory, and derivations in algebras. |
| format | Online |
| id | doab-20.500.12854ir-165803 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1658032025-08-12T10:18:20Z New Advances in Algebra, Ring Theory and Homological Algebra, 2nd Edition Rozas, Juan Ramón García Alcalá, Luis Oyonarte Bennis, Driss rings algebras derivations modules over rings coding theory Gorenstein homological algebra thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science The development of associative algebra during the last century has resulted in the emergence of numerous theories or specialties that have offered solutions to many of the needs of the society in which we live, increasingly developed from a technological point of view. These needs fall into two broad groups: purely technological needs and theoretical needs associated with developments in both applied algebra and other branches of mathematics. After all, it is not unreasonable to think that algebra is something like the “mathematics of mathematics”. There are many branches of algebra whose contributions solve problems posed by the scientific challenges arising from the advancement of technology. Two of them also stand out for their popularity in society: cryptography and coding theory. In addition, from a theoretical point of view, the momentum that some disciplines have experienced in the last 20 years is remarkable. Thus, homological algebra has been given a big push with the emergence of the different classes of Gorenstein modules and, in recent years, in particular, the relative Gorenstein modules. Moreover, the emergence of C*-algebras has had a huge impact on many branches of mathematics and physics, and, of course, one cannot forget the very active branches of modules over non-commutative rings and derivations in algebras, with immense applications at all times. We are therefore pleased to present this Special Issue of Mathematics as a tool to share recent and compelling advancements in the branches of homological algebra, module theory, C*-algebras, coding theory, and derivations in algebras. 2025-08-12T10:18:18Z 2025-08-12T10:18:18Z 2025 book ONIX_20250812T110751_9783725846016_558 9783725846016 9783725846023 https://directory.doabooks.org/handle/20.500.12854/165803 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/11210 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-4602-3 10.3390/books978-3-7258-4602-3 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725846016 9783725846023 212 open access |
| spellingShingle | rings algebras derivations modules over rings coding theory Gorenstein homological algebra thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science New Advances in Algebra, Ring Theory and Homological Algebra, 2nd Edition |
| title | New Advances in Algebra, Ring Theory and Homological Algebra, 2nd Edition |
| title_full | New Advances in Algebra, Ring Theory and Homological Algebra, 2nd Edition |
| title_fullStr | New Advances in Algebra, Ring Theory and Homological Algebra, 2nd Edition |
| title_full_unstemmed | New Advances in Algebra, Ring Theory and Homological Algebra, 2nd Edition |
| title_short | New Advances in Algebra, Ring Theory and Homological Algebra, 2nd Edition |
| title_sort | new advances in algebra ring theory and homological algebra 2nd edition |
| topic | rings algebras derivations modules over rings coding theory Gorenstein homological algebra thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | rings algebras derivations modules over rings coding theory Gorenstein homological algebra thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20250812T110751_9783725846016_558 |