✦ LIBER ✦

A note on a subvariety of linear tense algebras

✍ Scribed by Marta A. Zander

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 118 KB
Volume: 51
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.200410012

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In [1], Bull gave completeness proofs for three axiom systems with respect to tense logic with time linear and rational, real and integral. The associated varieties, Dens, Cont and Disc, are generated by algebras with frames {ℚ, <, >}, {ℝ, <, >} and {ℤ, <, >}, respectively. In this paper we consider the subvariety 𝒱 generated by the finite members of Disc. We prove that V is locally finite and we determine its lattice of subvarieties. We also prove that 𝒱 = Disc ∩ Dens = Disc ∩ Cont. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

A Note on Diagonality of Algebras

✍ Josef Šlapal 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 171 KB 👁 1 views

A Note on Derivations of Simple Algebras

✍ A. Elduque; F. Montaner 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 319 KB

Necessary and sufficient conditions for all the derivations of a finite dimensional simple nonassociative algebra, over a field of characteristic zero, to be inner are given in terms of the Lie multiplication algebra and the trace of the derivations. 1994 Academic Press, Inc.

A note on simple graphic algebras

✍ Juhani Nieminen 📂 Article 📅 1975 🏛 John Wiley and Sons 🌐 English ⚖ 223 KB 👁 1 views

A NOTE ON SIMPLE GRAPHIC ALGEBRAS by JUHANT NIEMTNEN in Helsinki (Finland) 111 troduction Several authors have studied the structure of algebras with a ternary operation called median operation, scc e.g. [I], [2], [3], [4], and [7]. Most of the authors have concentrated on the lattice and tree struc

A Note on the Multiplicities of Gorenste

A Note on the Multiplicities of Gorenstein Algebras

✍ Hema Srinivasan 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 167 KB

In this note we give a formula for the multiplicities of homogenous Gorenstein algebras. Herzog, Huneke, and Srinivasan have conjectured bounds for the multiplicities of homogeneous Cohen᎐Macaulay algebras. Herzog and Srinivasan have proved this conjecture for C-M algebras with quasi-pure resolution

A Note on Algebras of Finite Uniserial T

A Note on Algebras of Finite Uniserial Type

✍ Klaus Bongartz 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 79 KB

A denotes an artin algebra in the sense of Auslander, i.e., an associative algebra of finite length over a commutative artinian ring Z. We assume in addition that Z is local and that its residue field k is algebraically closed, whence infinite. As a partial answer to a w x question raised by Ausland

A Note On Semi-inner Product Algebras

✍ B. D. Malviya 📂 Article 📅 1970 🏛 John Wiley and Sons 🌐 English ⚖ 157 KB 👁 1 views