標(biāo)題: Titlebook: An Invitation to General Algebra and Universal Constructions; George M. Bergman Textbook 2015Latest edition Springer International Publish [打印本頁(yè)] 作者: 短暫 時(shí)間: 2025-3-21 19:29
書(shū)目名稱(chēng)An Invitation to General Algebra and Universal Constructions影響因子(影響力)
書(shū)目名稱(chēng)An Invitation to General Algebra and Universal Constructions影響因子(影響力)學(xué)科排名
書(shū)目名稱(chēng)An Invitation to General Algebra and Universal Constructions網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱(chēng)An Invitation to General Algebra and Universal Constructions網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱(chēng)An Invitation to General Algebra and Universal Constructions被引頻次
書(shū)目名稱(chēng)An Invitation to General Algebra and Universal Constructions被引頻次學(xué)科排名
書(shū)目名稱(chēng)An Invitation to General Algebra and Universal Constructions年度引用
書(shū)目名稱(chēng)An Invitation to General Algebra and Universal Constructions年度引用學(xué)科排名
書(shū)目名稱(chēng)An Invitation to General Algebra and Universal Constructions讀者反饋
書(shū)目名稱(chēng)An Invitation to General Algebra and Universal Constructions讀者反饋學(xué)科排名
作者: CANE 時(shí)間: 2025-3-22 00:12
Categories and Functorsthe category of all sets is handled using Grothendieck’s Axiom of Universes. Epimorphisms, monomorphisms, and similar concepts are investigated. The concept of “enriched categories” (for example, additive categories) is briefly sketched.作者: antipsychotic 時(shí)間: 2025-3-22 03:20
https://doi.org/10.1007/978-3-319-11478-1Galois connections; categories; functors; coalgebra objects; free groups; lattices; ordered sets; universa作者: 意見(jiàn)一致 時(shí)間: 2025-3-22 07:10 作者: MIRTH 時(shí)間: 2025-3-22 12:00
An Invitation to General Algebra and Universal Constructions978-3-319-11478-1Series ISSN 0172-5939 Series E-ISSN 2191-6675 作者: 能量守恒 時(shí)間: 2025-3-22 14:10 作者: coltish 時(shí)間: 2025-3-22 17:47 作者: condemn 時(shí)間: 2025-3-23 01:05
,Die Messung der Produktivit?t, studied include groups presented by generators and relations, Burnside groups, products and coproducts of groups (leading to the contrast between left and right universal constructions), similar constructions for monoids, rings, and Boolean rings, and constructions connecting one sort of structure 作者: PURG 時(shí)間: 2025-3-23 05:10
Sarah Henneberger-Sudjana,Fred Hennebergerescending chain condition is formalized. The axioms of Zermelo–Fraenkel Set Theory with Choice, and the arithmetic of ordinals and cardinals, are reviewed, and Zorn’s Lemma is developed. We end with some thoughts on whether set theory is “real”.作者: Bombast 時(shí)間: 2025-3-23 07:53
Die informatisierte Service-?konomieound, and as algebraic structures, and various completeness conditions they can satisfy are examined.Such structures often arise from . on sets, and this concept is developed.An insufficiently well known source of closure operators, which we develop, is the concept of a . between two sets. In the ca作者: ungainly 時(shí)間: 2025-3-23 11:15 作者: 專(zhuān)心 時(shí)間: 2025-3-23 14:20 作者: Instrumental 時(shí)間: 2025-3-23 19:00 作者: Minatory 時(shí)間: 2025-3-24 01:24
George M. BergmanReviews many concrete examples of universal constructions, motivating the development of general algebra and the category-theoretic view of universal constructions.Enriches the reader‘s intuition of t作者: lethargy 時(shí)間: 2025-3-24 06:04
Universitexthttp://image.papertrans.cn/a/image/155636.jpg作者: surrogate 時(shí)間: 2025-3-24 10:12 作者: 采納 時(shí)間: 2025-3-24 11:49 作者: 猛然一拉 時(shí)間: 2025-3-24 15:43
,Die Messung der Produktivit?t,As motivation for the general investigation of universal constructions, the concept of a free group on a set . is defined, and such groups are constructed in three ways: As sets of group-theoretic terms in . modulo consequences of the group identities, as subgroups of sufficiently large direct product groups, and as groups of reduced words.作者: 混合 時(shí)間: 2025-3-24 20:10 作者: Abominate 時(shí)間: 2025-3-24 23:32 作者: 細(xì)微的差異 時(shí)間: 2025-3-25 05:41 作者: incite 時(shí)間: 2025-3-25 08:38
Free GroupsAs motivation for the general investigation of universal constructions, the concept of a free group on a set . is defined, and such groups are constructed in three ways: As sets of group-theoretic terms in . modulo consequences of the group identities, as subgroups of sufficiently large direct product groups, and as groups of reduced words.作者: 綠州 時(shí)間: 2025-3-25 13:58
Varieties of AlgebrasWe at last formally define the concept of a (set-based) algebra, consider classes of algebras defined by families of identities (varieties), and prove Birkhoff’s . theorem. We devote several pages to Lie algebras. Clonal categories, and Lawvere’s Structure and Semantics functors, are briefly introduced.作者: Flat-Feet 時(shí)間: 2025-3-25 16:29
0172-5939 pen questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book..978-3-319-11477-4978-3-319-11478-1Series ISSN 0172-5939 Series E-ISSN 2191-6675 作者: 撕裂皮肉 時(shí)間: 2025-3-25 23:42 作者: 人類(lèi) 時(shí)間: 2025-3-26 03:06 作者: Root494 時(shí)間: 2025-3-26 07:53 作者: Communal 時(shí)間: 2025-3-26 11:51
Lattices, Closure Operators, and Galois Connectionsound, and as algebraic structures, and various completeness conditions they can satisfy are examined.Such structures often arise from . on sets, and this concept is developed.An insufficiently well known source of closure operators, which we develop, is the concept of a . between two sets. In the ca作者: 破布 時(shí)間: 2025-3-26 13:22 作者: SOBER 時(shí)間: 2025-3-26 17:08
Universal Constructions in Category-Theoretic Termsctors, adjoint functors and limits and colimits; how one of these constructions can often be expressed in terms of another, and when such constructions exist. We prove such results as that limits always “respect” other limits, and colimits other colimits, and also examine special but important situa作者: Tortuous 時(shí)間: 2025-3-27 00:20
Algebra and Coalgebra Objects in Categories, and Functors Having Adjoints . of algebras has a left adjoint if and only if it is represented by a .. of ..?Using this approach, descriptions of all such functors from monoids to monoids, and from . -modules to .-modules for arbitrary rings . and .,?are obtained. Some general restrictions on representable functors are noted (作者: Glower 時(shí)間: 2025-3-27 05:02 作者: 不溶解 時(shí)間: 2025-3-27 07:24 作者: 驚惶 時(shí)間: 2025-3-27 10:09
,Die Messung der Produktivit?t,t and right universal constructions), similar constructions for monoids, rings, and Boolean rings, and constructions connecting one sort of structure to another (e.g., abelianizations of groups). For perspective, we also look at the topological constructions of Stone-?ech compactification, and of universal covering spaces.作者: 種族被根除 時(shí)間: 2025-3-27 16:08 作者: 陰郁 時(shí)間: 2025-3-27 17:45
Lattices, Closure Operators, and Galois Connectionsse for which the concept was named, the two sets are, respectively, the elements of a finite separable normal field extension, and the automorphisms of that extension. Another of the many examples noted relates the set of models of a formal language, and the set of propositions in that language.作者: 捕鯨魚(yú)叉 時(shí)間: 2025-3-28 01:51
Universal Constructions in Category-Theoretic Termstions where limits and colimits respect one another. (For instance, in the category of sets, though not in a general category, direct limits respect finite products. This is why, given a directed system of finitary algebras, one gets an induced algebra structure on the direct limit of their underlying sets.)作者: 開(kāi)頭 時(shí)間: 2025-3-28 05:57
Algebra and Coalgebra Objects in Categories, and Functors Having Adjointswhich show, for instance, that there can be no such nontrivial functors from semigroups to monoids, or from groups to unital rings). We examine briefly . representable functors among varieties of algebras, noting some open questions about these.作者: Radiculopathy 時(shí)間: 2025-3-28 10:20
Die informatisierte Service-?konomiese for which the concept was named, the two sets are, respectively, the elements of a finite separable normal field extension, and the automorphisms of that extension. Another of the many examples noted relates the set of models of a formal language, and the set of propositions in that language.作者: Glower 時(shí)間: 2025-3-28 11:40
Christian Arnold,Hermann Kn?dlertions where limits and colimits respect one another. (For instance, in the category of sets, though not in a general category, direct limits respect finite products. This is why, given a directed system of finitary algebras, one gets an induced algebra structure on the direct limit of their underlying sets.)作者: 使殘廢 時(shí)間: 2025-3-28 16:02 作者: Nebulous 時(shí)間: 2025-3-28 19:11
Textbook 2015Latest editionf the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book..作者: 無(wú)法治愈 時(shí)間: 2025-3-29 01:35
9樓作者: Accomplish 時(shí)間: 2025-3-29 05:48
10樓作者: 轉(zhuǎn)換 時(shí)間: 2025-3-29 07:22
10樓作者: HALL 時(shí)間: 2025-3-29 12:19
10樓作者: 舞蹈編排 時(shí)間: 2025-3-29 18:07
10樓
