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 ;...
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. (...
It is easily verified that any mapping of G to Kk corresponds to a k-coloring of G, thus the notion of homomorphism generalizes the theory of coloring of graphs. Given a class C of graphs, we say that H bounds C if every member of C maps to H. Thus, in this terminology, the ...
group theory mathematics Ask the Chatbot a Question More Actions Print Cite Share Feedback External Websites Written and fact-checked by The Editors of Encyclopaedia Britannica Encyclopaedia Britannica's editors oversee subject areas in which they have extensive knowledge, whether from years of experience...
In this chapter we explore some of the constructions in which ideals are involved. 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
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...
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 ...
We construct a homomorphism from the affine YangianY_{\hbar ,\varepsilon +\hbar }(\widehat{\mathfrak {sl}}(n))to the affine YangianY_{\hbar ,\varepsilon }(\widehat{\mathfrak {sl}}(n+1))which is different from the one in Ueda (A homomorphism from the affine YangianY_{\hbar...
Although mainstream homotopy theory usually works with the Quillen model struc- ture and the proofs of our results would be considerably shorter in this context (because we could use the rich literature, in particular, the results of Fiedorowicz [8]), we choose the Strøm setting because we ...