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Basic elements in a pseudo MV-algebra

✍ Scribed by J. Jakubík

Publisher
Springer
Year
2001
Tongue
English
Weight
80 KB
Volume
5
Category
Article
ISSN
1432-7643

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📜 SIMILAR VOLUMES

Cyclic Elements in MV-Algebras and Post
Cyclic Elements in MV-Algebras and Post Algebras
✍ Antoni Torrens 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 649 KB

## Abstract In this paper we characterize the MV‐algebras containing as subalgebras Post algebras of finitely many orders. For this we study cyclic elements in MV‐algebras which are the generators of the fundamental chain of the Post algebras. Mathematics Subject Classification: 03G20, 03G25, 06D2

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✍ Roy Meshulam; Nizar Radwan 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 235 KB

Let 9 be a complex semi-simple Lie algebra. Extending a result of Gerstenhaber on spaces of nilpotent matrices, it is shown that if W c g is a linear subspace of ad nilpotent elements then dim W < i( dim.g -rank g). Similarly, it is shown that the maximal dimension of a linear space of symmetric nil