The concept of a Jordan homomorphism generalizes in a natural way the ones of homomorphism and antihomomorphism of rings: in fact, by a well-known theorem of HUA'S [7], Jordan homomorphisms of (non-necessarily commutative) fields, and more generally Jordan homomorphisms onto prime rings [5]...
Fundamental theorem of projective geometry over a commutative ring FUNDAMENTAL THEOREM OF PROJECTIVE GEOMETRY OVER A COMMUTATIVE RING M Kulkarni - 《Indian Journal of Pure & Applied Mathematics》 被引量: 11发表: 1980年 On Non-Associative Rings The fundamental theorem of the homomorphism ring can be...
Understand the finitely generated abelian groups and the classification theorem. Learn the properties of the finitely generated abelian group with...
We construct a group homomorphism, which can be realized as the induced homomorphism of fundamental groups from a holomorphic map between compact K盲hler manifolds, but cannot be realized by a holomorphic map between smooth projective varieties. It is also proved that there exists no such example ...
A group morphism is constructed, which can be realized as the induced morphism of fundamental groups from a holomorphic map between compact Kahler manifolds, but can not be realized by a holomorphic map between smooth projective varieties. And it is also proved that there exists no such example ...
HomomorphismDescartes Sign RulePower RuleFundamental Theorem Of Algebra (FTA)NonlinearityThis article contributes to the existing literature by: i) proving that the Descartes Sign Rule (as interpreted by most academicians - such as Oehmke (2000) and...
MN-2 Invariants and Homomorphisms for Solving Polynomials; And Anomalies in the Binomial Theorem and the Fundamental Theorem Of AlgebraThis chapter contributes to the existing literature by: (1) proving that the Fundamental Theorem Of Algebra (FTA) and the Binomial Theorem are wrong; (2) ...
Spatial homomorphismHawaiian earringLet X be a space of dimension at most 1. Then, the fundamental group is isomorphic to a subgroup of the first ech homotopy group based on finite open covers. Consequently, for a one-dimensional continuum X, the fundamental group is isomorphic to a subgroup ...
K. Eda, The fundamental groups of one-dimensional spaces and spatial homomorphisms, Topology Appl. 123 (2002) 479-505.The fundamental groups of one-dimensional spaces and spatial homo- mo rphisms, Topology Appl. 123 2002 ,$($ $)$ 479-505....