On the Structure of Complete MV-Algebras

On the category of hyper MV-algebras

✍ Shokoofeh Ghorbani; Esfandiar Eslami; Abbas Hasankhani 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB

## Abstract In this paper we study the category of hyper MV‐algebras and we prove that it has a terminal object and a coequalizer. We show that Jia's construction can be modified to provide a free hyper MV‐algebra by a set. We use this to show that in the category of hyper MV‐algebras the monomorph

One Chain Generated Varieties of MV-Alge

One Chain Generated Varieties of MV-Algebras

✍ Antonio Di Nola; Ada Lettieri 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 198 KB

On the extender algebra being complete

✍ Richard Ketchersid; Stuart Zoble 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 116 KB

## Abstract We show that a Woodin cardinal is necessary for the extender algebra to be complete. Our proof is relatively simple and does not use fine structure. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

On the Structure of Weak Hopf Algebras

✍ Dmitri Nikshych 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 252 KB

We study the group of group-like elements of a weak Hopf algebra and derive an analogue of Radford's formula for the fourth power of the antipode S; which implies that the antipode has a finite order modulo, a trivial automorphism. We find a sufficient condition in terms of TrðS 2 Þ for a weak Hopf

On the Structure of the Blob Algebra

✍ Paul P. Martin; David Woodcock 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 245 KB

The Structure of Galois Algebras

✍ George Szeto; Lianyong Xue 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 87 KB

Let B be a ring with 1 and G an automorphism group of B of order n for some integer n. It is shown that if B is a Galois algebra with Galois group G, then B is either a direct sum of central Galois algebras or a direct sum of central Galois algebras and a commutative Galois algebra. Moreover, when G