Semilocal E-convexity and semilocal E-convex programming
نویسندگان
چکیده
منابع مشابه
A Class of Semilocal E-Preinvex Functions and Its Applications in Nonlinear Programming
A kind of generalized convex set, called as local star-shaped E-invex set with respect to η, is presented, and some of its important characterizations are derived. Based on this concept, a new class of functions, named as semilocal E-preinvex functions, which is a generalization of semi-Epreinvex functions and semilocal E-convex functions, is introduced. Simultaneously, some of its basic proper...
متن کاملSemilocal and Electroweak Strings
We review a class of non-topological defects in the standard electroweak model, and their implications. Starting with the semilocal string, which provides a counterexample to many well known properties of topological vortices, we discuss electroweak strings and their stability with and without external influences such as magnetic fields. Other known properties of electroweak strings and monopol...
متن کاملSemilocal Strings and Monopoles
A variation on the abelian Higgs model, with SU(2) global × U(1) local symmetry broken to U(1) global , was recently shown by Vachaspati and Achúcarro [1] to admit stable, finite energy cosmic string solutions even though the mani-fold of minima of the potential energy does not have non-contractible loops. Here we describe the most general solutions in the Bogomol'nyi limit, both in the single ...
متن کاملSemilocal defects.
I analyze the interplay of gauge and global symmetries in the theory of topological defects. In a two-dimensional model in which both gauge symmetries and exact global symmetries are spontaneously broken, stable vortices may fail to exist even though magnetic flux is topologically conserved. Following Vachaspati and Achúcarro, I formulate the condition that must be satisfied by the pattern of s...
متن کاملOn Semilocal Modules and Rings
It is well-known that a ring R is semiperfect if and only if RR (or RR) is a supplemented module. Considering weak supplements instead of supplements we show that weakly supplemented modules M are semilocal (i.e., M/Rad(M) is semisimple) and that R is a semilocal ring if and only if RR (or RR) is weakly supplemented. In this context the notion of finite hollow dimension (or finite dual Goldie d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 2007
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700038983