Aubert Daigneault. Introduction. Studies in algebraic logic, edited by Aubert Daigneault, Studies in mathematics, vol. 9, The Mathematical Association of America, [Washington, D.C.], 1974, pp. 1–5. - William Craig. Unification and abstraction in algebraic logic. Studies in algebraic logic, edited by Aubert Daigneault, Studies in mathematics, vol. 9, The Mathematical Association of America, [Washington, D.C.], 1974, pp. 6–57. - J. Donald Monk. Connections between combinatorial theory and algebraic logic. Studies in algebraic logic, edited by Aubert Daigneault, Studies in mathematics, vol. 9, The Mathematical Association of America, [Washington, D.C.], 1974, pp. 58–91. - Helena Rasiowa. Post algebras as a semantic foundation of m-valued logics. Studies in algebraic logic, edited by Aubert Daigneault, Studies in mathematics, vol. 9, The Mathematical Association of America, [Washington, D.C.], 1974, pp. 92–142. - Gonzalo E. Reyes. From sheaves to logic. Studies in algebraic logic, edited by Aubert Daigneault, Studies in mathematics, vol. 9, The Mathematical Association of America, [Washington, D.C.], 1974, pp. 143–204.

1978 ◽  
Vol 43 (1) ◽  
pp. 145-147
Author(s):  
Anne Preller
Keyword(s):  
Algebraic Logic ◽  
Combinatorial Theory ◽  
Mathematical Association

Short notices - Tables for statisticians, by John White Alan Yeats and Gordon Skipworth. Pp 61. 60p. 1974. SBN 0 89550 012 8 (Stanley Thornes) - Mathematics for technical and vocational schools (6th edition), by John G. Boyce, Samuel Slade and Louis Margolis. Pp xii, 572. £6·50. 1975. SBN 0 471 09340 8 (Wiley) - Elements of functional analysis (translated from the 2nd Russian edition), by L. A. Lusternik and V. J. Sobolev. Pp xvi, 360. £11·60. 1975. SBN 0 470 556501 (Hindustan Publishing Corporation/Wiley) - Arithmetic: basic skills for college students, by Robert M. Pickerell. Pp 358. £4·85. 1975. SBN 0 471 68923 8 (Wiley) - Introductory algebra: a college approach (3rd edition) by Milton D. Eulenberg, Theodore S. Sunko and Howard A. James. Pp xii, 360. £5·90. 1975. SBN 0 471 24686 7 (Wiley) - Essais historiques sur la théorie des nombres, by André Weil. Pp 55. 16 swiss francs. 1975 (L’Enseignement Mathematique) - Studies in algebraic logic, edited by Aubert Daigneault. Pp vii, 207. 1974. SBN 0 88385 109 1 (Mathematical Association of America) - Mathematics through experience, by Michael Holt. Book zero. Pp 155. £1·40. Answers book zero. Pp. 32. 40 p. 1975. SBN 0 219 51698 7/51824 6 - Mathematics through experience (revised metricated edition). Books 4,5,5°. Pp 179,226, 251. £1·60, £1·65, £1·65. Answers books 4, 5, 5°. Pp 28, 31, 33. 40p each. 1975. SBN 0 219 51650 2/52015 1/52016 X/51722 3/51653 7/51655 3 (Hart-Davis Educational) - Tackle a topic in mathematics, by J. E. A. Bishop. Pupil’s pad. 65p. Answers book. Pp 24. 60p. 1975. SBN 0 216 89970 2/90026 3 (Blackie) - Modern intermediate algebra (2nd edition), by Margaret F. Willerding. Pp xii, 411.£5·90. 1975. SBN 0 471 94667 2 (Wiley) - College algebra and trigonometry (2nd edition), by Margaret F. Willerding. Pp xiii, 613. £6·75. 1975. SBN 0 471 94671 0 (Wiley) - Mathematical recreations and essays (12th edition), by W. W. Rouse Ball and H.S.M. Coxeter. Pp xvii, 428. £2·50 paper, also available in cloth. 1974. SBN 0 8020 6138 9/1844 0 (University of Toronto Press) - The art of approximation, by G. Poots. Pp 31. 50p. 1975. SBN 0 900480 68 8 (University of Hull) - The factor book, by R. L. Hubbard. £3·75. 1975 (Hilton Management Services, Ltd.)

1975 ◽  
Vol 59 (409) ◽  
pp. 219-220
Keyword(s):  
College Students ◽  
Functional Analysis ◽  
Basic Skills ◽  
Algebraic Logic ◽  
College Algebra ◽  
Vocational Schools ◽  
University Of Toronto ◽  
Mathematical Association ◽  
Russian Edition ◽  
Management Services

SEMIDIRECT PRODUCTS IN ALGEBRAIC LOGIC AND SOLUTIONS OF THE QUANTUM YANG–BAXTER EQUATION

2008 ◽  
Vol 07 (04) ◽  
pp. 471-490 ◽  
Author(s):  
WOLFGANG RUMP
Keyword(s):  
Semidirect Product ◽  
Binary Operation ◽  
Algebraic Logic ◽  
Type Theorem ◽  
Combinatorial Theory ◽  
Baxter Equation ◽  
Semidirect Products ◽  
Special Classes

A semidirect product is introduced for cycloids, i.e. sets with a binary operation satisfying (x · y) · (x · z) = (y · x) · (y · z). Special classes of cycloids arise in the combinatorial theory of the quantum Yang–Baxter equation, and in algebraic logic. In the first instance, semidirect products can be used to construct new solutions of the quantum Yang–Baxter equation, while in algebraic logic, they lead to a characterization of L-algebras satisfying a general Glivenko type theorem.

The Mathematical Association

1939 ◽  
Vol 23 (253) ◽  
pp. 3-5
Keyword(s):  
Annual Meeting ◽  
Mathematical Association ◽  
King's College

The Annual Meeting of the Mathematical Association was held at King’s College, London, on 2nd and 3rd January, 1939. On Monday, 2nd January, the proceedings opened at 2.15 p.m. with the transaction of business, the President, Mr. W Hope-Jones, was in the chair. The Report of the Council for 1938 was adopted. The Hon. Treasurer presented a statement of accounts for the year ending 31st October, 1938.

scholarly journals Residuated Structures and Orthomodular Lattices

Studia Logica ◽  
2021 ◽  
Author(s):  
D. Fazio ◽  
A. Ledda ◽  
F. Paoli
Keyword(s):  
Algebraic Logic ◽  
Residuated Lattices ◽  
Quantum Structures ◽  
Heyting Algebras ◽  
Quantum Algebras ◽  
Orthomodular Lattices ◽  
Lattice Of Subvarieties ◽  
Residuated Structures ◽  
Common Framework ◽  
Mv Algebras

AbstractThe variety of (pointed) residuated lattices includes a vast proportion of the classes of algebras that are relevant for algebraic logic, e.g., $$\ell $$ ℓ -groups, Heyting algebras, MV-algebras, or De Morgan monoids. Among the outliers, one counts orthomodular lattices and other varieties of quantum algebras. We suggest a common framework—pointed left-residuated $$\ell $$ ℓ -groupoids—where residuated structures and quantum structures can all be accommodated. We investigate the lattice of subvarieties of pointed left-residuated $$\ell $$ ℓ -groupoids, their ideals, and develop a theory of left nuclei. Finally, we extend some parts of the theory of join-completions of residuated $$\ell $$ ℓ -groupoids to the left-residuated case, giving a new proof of MacLaren’s theorem for orthomodular lattices.

Mathematical Association of America

1978 ◽  
Vol 85 (8) ◽  
pp. 700-701
Author(s):  
Henry L. Alder ◽  
Tom Renfrow ◽  
John O. Herzog
Keyword(s):  
Mathematical Association

scholarly journals THE MATHEMATICAL ASSOCIATION

Nature ◽  
1946 ◽  
Vol 157 (3993) ◽  
pp. 634-635
Keyword(s):  
Mathematical Association
Sign in / Sign up

Export Citation Format

Share Document