Notes on Universal Algebra
نویسندگان
چکیده
These are notes of a mini-course given at Dennisfest in June 2001. The goal of these notes is to give a self-contained survey of deformation quantization, operad theory, and graph homology. Some new results related to “String Topology” and cacti are announced in Section 2.7.
منابع مشابه
Some notes on the existence of an inequality in Banach algebra
We shall prove an existence inequality for two maps on Banach algebra, withan example and in sequel we have some results on R and Rn spaces. This waycan be applied for generalization of some subjects of mathematics in teachingwhich how we can extend a math problem to higher level.
متن کاملSome notes on L-projections on Fourier-Stieltjes algebras
In this paper, we investigate the relation between L-projections and conditional expectations on subalgebras of the Fourier Stieltjes algebra B(G), and we will show that compactness of G plays an important role in this relation.
متن کاملNOTES ON REGULAR MULTIPLIER HOPF ALGEBRAS
In this paper, we associate canonically a precyclic mod- ule to a regular multiplier Hopf algebra endowed with a group-like projection and a modular pair in involution satisfying certain con- dition
متن کاملUniversal Algebra for Logics
These notes form Lecture Notes of a short course which I will give at 1st School on Universal Logic in Montreux. They cannot be recommended for self studies because, although all definitions and main ideas are included, there are no proofs and examples. I’m going to provide some of them during my lectures, leaving easy ones as exercises. In the first part we discuss some of the most important n...
متن کاملFuzzy universal algebras on $L$-sets
This paper attempts to generalize universal algebras on classical sets to $L$-sets when $L$ is a GL-quantale. Some basic notions of fuzzy universal algebra on an $L$-set are introduced, such as subalgebra, quotient algebra, homomorphism, congruence, and direct product etc. The properties of them are studied. $L$-valued power algebra is also introduced and it is shown there is an onto homomorphi...
متن کاملThe universal $mathcal{AIR}$- compactification of a semigroup
In this paper we establish a characterization of abelian compact Hausdorff semigroups with unique idempotent and ideal retraction property. We also introduce a function algebra on a semitopological semigroup whose associated semigroup compactification is universal withrespect to these properties.
متن کامل