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Titlebook: Universal Algebra; P. M. Cohn Book 1981 D. Reidel Publishing Company, Dordrecht, Holland 1981 algebra.category theory.field.lie algebra.li

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樓主
發(fā)表于 2025-3-21 18:25:22 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Universal Algebra
編輯P. M. Cohn
視頻videohttp://file.papertrans.cn/943/942201/942201.mp4
叢書名稱Mathematics and Its Applications
圖書封面Titlebook: Universal Algebra;  P. M. Cohn Book 1981 D. Reidel Publishing Company, Dordrecht, Holland 1981 algebra.category theory.field.lie algebra.li
描述The present book was conceived as an introduction for the user of universal algebra, rather than a handbook for the specialist, but when the first edition appeared in 1965, there were practically no other books entir~ly devoted to the subject, whether introductory or specialized. Today the specialist in the field is well provided for, but there is still a demand for an introduction to the subject to suit the user, and this seemed to justify a reissue of the book. Naturally some changes have had to be made; in particular, I have corrected all errors that have been brought to my notice. Besides errors, some obscurities in the text have been removed and the references brought up to date. I should like to express my thanks to a number of correspondents for their help, in particular C. G. d‘Ambly, W. Felscher, P. Goralcik, P. J. Higgins, H.-J. Hoehnke, J. R. Isbell, A. H. Kruse, E. J. Peake, D. Suter, J. S. Wilson. But lowe a special debt to G. M. Bergman, who has provided me with extensivecomments. particularly on Chapter VII and the supplementary chapters. I have also con- sulted reviews of the first edition, as well as the Italian and Russian translations.
出版日期Book 1981
關鍵詞algebra; category theory; field; lie algebra; linear algebra; semigroup; transformation
版次1
doihttps://doi.org/10.1007/978-94-009-8399-1
isbn_softcover978-90-277-1254-7
isbn_ebook978-94-009-8399-1
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1981
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:59:28 | 只看該作者
Relational Structures and Models,e it turns out that operations may be obtained as a special case. Furthermore, in writing down the definition of particular structures it may be necessary to use inequalities as well as equations. This is made possible by introducing logical connectives, and it leads to the consideration of classes of algebras other than varieties.
板凳
發(fā)表于 2025-3-22 03:57:42 | 只看該作者
地板
發(fā)表于 2025-3-22 08:26:01 | 只看該作者
Varieties,products. Conversely, the algebras of any residual category admitting homomorphic images form a variety. Thus most of the results of Chapter III apply to varieties; in addition, there are a number of features special to varieties, which also are discussed briefly.
5#
發(fā)表于 2025-3-22 11:13:46 | 只看該作者
6#
發(fā)表于 2025-3-22 15:01:26 | 只看該作者
Category Theory and Universal Algebra,these categories can be described by a self-dual set of axioms, and it is an interesting task to push the description in terms of self-dual axioms as far as possible. There is also the practical advantage that any result obtained as a consequence of these axioms may immediately be dualized.
7#
發(fā)表于 2025-3-22 20:28:21 | 只看該作者
8#
發(fā)表于 2025-3-23 00:41:55 | 只看該作者
Sets and Mappings,f these sets, or between different sets, while the nature of the objects is entirely immaterial. A simplification can be achieved by considering only objects which are themselves sets. At first sight this appears to lead to a vicious circle, but the difficulty may be resolved by beginning with the e
9#
發(fā)表于 2025-3-23 03:19:27 | 只看該作者
Algebraic Structures,the notions introduced for sets, such as subset, mapping, equivalence, have analogues for algebras, namely subalgebra, homomorphism, congruence. The mapping theorems of I.3 then correspond to the isomorphism theorems, which are probably best known in the case of groups. The analogy is less complete
10#
發(fā)表于 2025-3-23 07:06:20 | 只看該作者
Free Algebras,ass, which are essentially determined by the cardinal of a free generating set. These are the . of algebras, which form the subject of Chapter IV, but free algebras are also of importance in more general situations, and we therefore devote a chapter to the study of properties of free algebras which
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