The theory of Rough set was proposed by Z Pawlak in 1982 [11]. It is emerging as a powerful mathematical tool for imperfect data analysis.The rough set theory is an extension of set theory in which a subset of universe is approximated by a pair of ordinary sets, called upper and lower...
Let Cay(A,S) be a Cayley graph, where A is a group in V. Then for a graph G, there exists a homomorphism of G to Cay(A,S) if and only if there exists a homomorphism of Cay(FV(G),SV(G)) to Cay(A,S). Proof By definition of SV(G), the inclusion of V(G) in FV(G)...
We shall see that in the theory of Lie algebras ideals play a role similar to that played by normal subgroups in the theory of groups. For example, we saw in Exercise 1.6 that the kernel of a Lie algebra homomorphism is an ideal, just as the kernel of a group homomorphism is a ...
Howie, J.M.: Fundamentals of semigroup theory. Oxford University Press (1995) 4. Vemuri, N.R., Jayaram, B.: Fuzzy implications: Novel generation process and the consequent algebras. In: Greco, S., Bouchon-Meunier, B., Coletti, G., Fedrizzi, M., Matarazzo, B., Yager, R.R. (...
The ⁎C⁎-algebra generated by operators with compact support on a locally compact group J. Funct. Anal., 112 (1) (1993), pp. 1-30 View PDFView articleView in ScopusGoogle Scholar [30] A.T.-M. Lau, R.J. Loy Weak amenability of Banach algebras on locally compact groups J. Fun...
Representation and Character Theory. GroupNames Tim Dokchitser. Group Names. Beta GAP2022 The GAP Group. GAP -- Groups, Algorithms, and Programming. Version 4.12.0; 2022. Paper (pdf) Ken Brown. Mathematics 7350. Cornell University. The Todd–Coxeter procedure Conway polynomials Frank Lübeck. ...
Mathematics - Number TheoryIf $\\sigma$ is an automorphism of order $p$ of the semisimple group $\\mathbf{G}$, there is a natural correspondence between mod $p$ cohomological automorphic forms on $\\mathbf{G}$ and $\\mathbf{G}^\\sigma$. We describe this correspondence in the global...
share the same properties as a ring except that (R ; +) is assumed to be a semigroup rather than a commutative group. Semirings appear in a natural manner in some applications to the theory of automata and formal languages. An algebra (R ; +,.) is said to be a semiring if (R ;...
Xianmeng Ju
R. Salleh, "Vague soft hypergroups and vague soft hypergroup homomorphism," Advances in Fuzzy Systems, vol. 2014, Article ID 758637, 10 pages, 2014.G. Selvachandran and A. R. Salleh, Vague soft hypergroups and vague soft hypergroup homomorphism, Adv. Fuzzy Systems 2014 (2014), Article ...