for Journals by Title or ISSN
for Articles by Keywords
Followed Journals
Journal you Follow: 0
Sign Up to follow journals, search in your chosen journals and, optionally, receive Email Alerts when new issues of your Followed Journals are published.
Already have an account? Sign In to see the journals you follow.
Journal Cover   VFAST Transactions on Mathematics
  [0 followers]  Follow
  This is an Open Access Journal Open Access journal
   ISSN (Print) 2309-0022 - ISSN (Online) 2309-0022
   Published by Virtual Foundation for Advancement of Science and Technology Homepage  [2 journals]
  • Fundamental Theorem Of Functions

    • Authors: Gezahagne Mulat Addis
      Abstract: From the fundamental theorem of homomorphisms, it is well known that any homomorphism of groups (or rings or modules or vector spaces and of general universal algebras) can be decomposed as a composition of a monomorphism and an epimorphism. This result can also be extended to general functions defined on abstract sets; that is, any function can be expressed as a composition of an injection and a surjection. The main theorem in this paper called ‘Fundamental Theorem of Functions’ provides the uniqueness of such a decomposition of functions as a composition of an injection and a surjection. The uniqueness in this theorem is proved upto the level of associates by introducing the notion of an associate of functions.
      PubDate: 2015-10-30
      Issue No: Vol. 7 (2015)
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Tel: +00 44 (0)131 4513762
Fax: +00 44 (0)131 4513327
About JournalTOCs
News (blog, publications)
JournalTOCs on Twitter   JournalTOCs on Facebook

JournalTOCs © 2009-2015