In this paper we propose a noncommutative generalization of the relationship between compact K\"ahler manifolds and complex projective algebraic varieties. Beginning with prequantized structure, use holomorphic Poisson tensor to deform underlying structure into generalized such that prequantum line bundle its powers sequence branes. Taking homomorphisms resulting branes, obtain deformation homo...

in this paper, we introduce n-jordan homomorphisms and n-jordan *-homomorphisms and also investigate the hyers-ulam-rassiasstability of n-jordan *-homomorphisms on c*-algebras.

Standard examples of inverse limits arise from sequences of groups, with maps between them: for instance, if we have the sequence Gn = Z/pZ for n ≥ 0, with the natural quotient maps πn+1 : Gn+1 → Gn, the inverse limit consists of tuples (g0, g1, . . . ) ∈ ∏ n≥0Gn such that πn+1(gn+1) = gn for all n ≥ 0. This is a description of the p-adic integers Zp. It is clear that more generally if the Gn a...

We prove that there are continuum many clones on a three-element set even if they considered up to homomorphic equivalence. The we use this fact consisting of self-dual operations, i.e. operations preserve the relation [Formula: see text]. However, only countably such when equivalence with respect minor-preserving maps instead clone homomorphisms. give full description ordered by existence maps...

We discuss Hedetniemi's conjecture in the context of categories of relational structures under homomorphisms. In this language Hedetniemi's conjecture says that if there are no homomor-phisms from the graphs G and H to the complete graph on n vertices then there is no homomorphism from G x H to the complete graph. If an object in some category has just this property then it is called multiplica...

We consider multiplicative monoids of the positive integers defined by a single congruence. If a and b are positive integers such that a≤ b and a2≡ a mod b, then such a monoid (known as an arithmetic congruence monoid or an ACM) can be described as Ma,b = (a+ bN0)∪{1}. In lectures on elementary number theory, Hilbert demonstrated to students the utility of the proof of the Fundamental Theorem o...

A knot in a solid torus defines map on the set of (smooth or topological) concordance classes knots S 3 S^3 ...