Highly efficient computer implementations of these algorithms form the bedrock of systems such as GAP and Magma, at least in regard to computations with groups and algebras. By contrast, the fundamental problem of testing for isomorphism between other types of algebraic structures 鈥 such as groups...
Elementary Algebraic Structures 2017, Fundamentals of Advanced MathematicsHenri Bourlès 2.2.3 Fundamental isomorphisms (I) Induced homomorphisms. Theorem-definition 2.11 Let G1,G2 be groups, H1⊲G1,H2⊲G2 and let f : G1→ G2 be a homomorphism. 1) The following conditions are equivalent...
Laue, R. (2001). Constructing Objects up to Isomorphism, Simple 9-Designs with Small Parameters. In: Betten, A., Kohnert, A., Laue, R., Wassermann, A. (eds) Algebraic Combinatorics and Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59448-9_16 ...
Algebraic structures and applications. Marcel Dekker, New York, pp 55–74 Tjur T (1984) Analysis of variance models in orthogonal designs. Int Stat Rev 52:33–81 Article MathSciNet Google Scholar Topalova S, Zhelezova S (2010) 2-Spreads and transitive and orthogonal 2-parallelisms of PG...
of the algebraic closure of the empty set that extends to an isomorphismof the models. In building these models, we place a natural measure on the space of strong types extending p and introduce a new method of construction. We require that every element of the construction realizes a type ...
IndexˇCechspectralsequence3852 category 248acyclicitycondition 73 91Adamsisomorphism 326algebraicstablehomotopycategory 267approximationex brant— 133excellentprespectrum— 207h brant— 132Ω prespectrum— 205Σ co brant— 205well sectioned— 132Atiyah Hirzebruchspectralsequence 347 375basechangespectrum 273...
The upgrade of all kinds of algebraic structures has been emphasized with the development of fuzzy mathematics.The concept of hypergroup was raised first b... B Yao - 《Chinese Quarterly Journal of Mathematics》 被引量: 6发表: 2000年 QUASI-ISOMORPHISMS AND GROUPS OF QUASI-HOMOMORPHISMS. This...
1 The first author was partially supported by Università di Padova (Progetto ex 60% “Anelli e categorie di moduli”) and Fondazione Cassa di Risparmio di Padova e Rovigo (Progetto di Eccellenza “Algebraic structures and their applications”.) ...
Being in nature algebraic, homomorphisms generalize to other structures such as relational structures or even more finite models which are specified by a language L. This can be done as follows: Let L be a set containing relational symbols (like R,S,…) and function symbols (like F,f,g,...
algebraic geometry methods. In this paper properties of designs with quan-titative factors are studied. Section 2 introduces the indicator function as a mathematical tool for examining the geometric structures of designs. In Section 3 geometric isomorphism is de,ned for the classi,cation of ...