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Torrens Torrell, Antoni

Author ID: torrens-torrell.antoni Recent zbMATH articles by "Torrens Torrell, Antoni"
Published as: Torrens, Antoni; Torrens Torrell, Antoni; Torrens Torrell, Antonio; Torrens, A.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 417 times in 274 Documents Cited by Year
Wajsberg algebras. Zbl 0557.03040
Font, Josep M.; Rodríguez, Antonio J.; Torrens, Antoni
51
1984
An algebraic analysis of product logic. Zbl 0962.03059
Cignoli, Roberto; Torrens, Antoni
39
2000
Glivenko like theorems in natural expansions of BCK-logic. Zbl 1045.03026
Cignoli, Roberto; Torrens Torrell, Antoni
34
2004
Free algebras in varieties of Glivenko MTL-algebras satisfying the equation \(2(x^{2}) = (2x)^{2}\). Zbl 1115.06006
Cignoli, Roberto; Torrens Torrell, Antoni
34
2006
Logics preserving degrees of truth from varieties of residuated lattices. Zbl 1197.03023
Bou, Félix; Esteva, Francesc; Font, Josep Maria; Gil, Àngel J.; Godo, Lluís; Torrens, Antoni; Verdú, Ventura
24
2009
Hájek basic fuzzy logic and Łukasiewicz infinite-valued logic. Zbl 1025.03018
Cignoli, Roberto; Torrens, Antoni
20
2003
Boolean products of MV-algebras: hypernormal MV-algebras. Zbl 0849.06012
Cignoli, Roberto; Torrens Torrell, Antoni
16
1996
Free algebras in varieties of BL-algebras with a Boolean retract. Zbl 1058.03077
Cignoli, Roberto; Torrens, Antoni
16
2002
Varieties of commutative integral bounded residuated lattices admitting a Boolean retraction term. Zbl 1272.03162
Cignoli, Roberto; Torrens, Antoni
15
2012
W-algebras which are Boolean products of members of SR[1] and CW- algebras. Zbl 0621.03042
Torrens, Antoni
15
1987
On the infinite-valued Łukasiewicz logic that preserves degrees of truth. Zbl 1117.03027
Font, Josep Maria; Gil, Àngel J.; Torrens, Antoni; Verdú, Ventura
15
2006
Cyclic elements in MV-algebras and Post algebras. Zbl 0815.06009
Torrens, Antoni
13
1994
The poset of prime \(l\)-ideals of an abelian \(l\)-group with a strong unit. Zbl 0858.06008
Cignoli, Roberto; Torrens, Antoni
11
1996
Bounded BCK-algebras and their generated variety. Zbl 1123.06010
Gispert, Joan; Torrens, Antoni
10
2007
Free cancellative hoops. Zbl 1012.06015
Cignoli, Roberto; Torrens, Antoni
10
2000
Ultraproducts of \(\mathbb{Z}\) with an application to many-valued logics. Zbl 0937.06008
Gispert i Brasó, Joan; Mundici, Daniele; Torrens Torrell, Antoni
8
1999
Standard completeness of Hájek basic logic and decompositions of BL-chains. Zbl 1094.03013
Cignoli, R.; Torrens, A.
7
2005
Boolean products of CW-algebras and pseudo-complementation. Zbl 0741.06009
Torrens, Antoni
6
1989
Quasivarieties generated by simple MV-algebras. Zbl 0960.08003
Gispert, Joan; Torrens, Antoni
6
1998
Free-decomposability in varieties of pseudocomplemented residuated lattices. Zbl 1243.06008
Castaño, D.; Díaz Varela, J. P.; Torrens, A.
6
2011
Boolean representation of bounded BCK-algebras. Zbl 1160.06009
Gispert, Joan; Torrens, Antoni
6
2008
Decomposability of free Tarski algebras. Zbl 1091.03030
Díaz Varela, J. Patricio; Torrens, Antoni
6
2003
Topological representation for implication algebras. Zbl 1093.03037
Abad, Manuel; Díaz Varela, J. Patricio; Torrens, Antoni
6
2004
On Gentzen systems associated with the finite linear MV-algebras. Zbl 0939.03078
Gil, Àngel J.; Torrens, Antoni; Verdú, Ventura
5
1997
Lukasiewicz logic and Wajsberg algebras. Zbl 0717.03027
Rodriguez, Antonio J.; Torrens, Antoni; Verdú, Ventura
5
1990
On the role of the polynomial (X\(\rightarrow Y)\rightarrow Y\) in some implicative algebras. Zbl 0621.03043
Torrens, Antoni
5
1988
Wajsberg algebras and Post algebras. Zbl 0808.03048
Rodríguez, Antonio Jesús; Torrens, Antoni
5
1994
Retractive MV-algebras. Zbl 0857.06006
Cignoli, Roberto; Torrens, Antoni
4
1995
Decomposability of free Łukasiewicz implication algebras. Zbl 1110.03063
Díaz Varela, Jose Patricio; Torrens Torrell, Antoni
3
2006
An approach to Glivenko’s theorem in algebraizable logics. Zbl 1147.03037
Torrens, Antoni
3
2008
Axiomatic extensions of IMT3 logic. Zbl 1097.03017
Gispert, Joan; Torrens, Antoni
3
2005
Indecomposability of free algebras in some subvarieties of residuated lattices and their bounded subreducts. Zbl 1276.06003
Castaño, Diego; Díaz Varela, José Patricio; Torrens, Antoni
2
2011
Corrigendum to: “Logics preserving degrees of truth from varieties of residuated lattices”. Zbl 1247.03032
Bou, Félix; Esteva, Francesc; Font, Josep Maria; Gil, Àngel J.; Godo, Lluís; Torrens, Antoni; Verdú, Ventura
2
2012
Free Stone algebras. Zbl 0982.06010
Cignoli, Roberto; Torrens, Antoni
2
2000
Semisimplicity and the discriminator in bounded BCK-algebras. Zbl 1201.06015
Torrens, Antoni
2
2010
Erratum to: “Free algebras in varieties of Glivenko MTL-algebras satisfying the equation \({2(x^2) = (2x)^2}\)”. Zbl 1403.06014
Cignoli, Roberto; Torrens, Antoni
1
2017
Regular elements and Kolmogorov translation in residuated lattices. Zbl 1358.03096
Castaño, Diego N.; Díaz Varela, J. Patricio; Torrens, Antoni
1
2015
Erratum to: “Free algebras in varieties of Glivenko MTL-algebras satisfying the equation \({2(x^2) = (2x)^2}\)”. Zbl 1403.06014
Cignoli, Roberto; Torrens, Antoni
1
2017
Regular elements and Kolmogorov translation in residuated lattices. Zbl 1358.03096
Castaño, Diego N.; Díaz Varela, J. Patricio; Torrens, Antoni
1
2015
Varieties of commutative integral bounded residuated lattices admitting a Boolean retraction term. Zbl 1272.03162
Cignoli, Roberto; Torrens, Antoni
15
2012
Corrigendum to: “Logics preserving degrees of truth from varieties of residuated lattices”. Zbl 1247.03032
Bou, Félix; Esteva, Francesc; Font, Josep Maria; Gil, Àngel J.; Godo, Lluís; Torrens, Antoni; Verdú, Ventura
2
2012
Free-decomposability in varieties of pseudocomplemented residuated lattices. Zbl 1243.06008
Castaño, D.; Díaz Varela, J. P.; Torrens, A.
6
2011
Indecomposability of free algebras in some subvarieties of residuated lattices and their bounded subreducts. Zbl 1276.06003
Castaño, Diego; Díaz Varela, José Patricio; Torrens, Antoni
2
2011
Semisimplicity and the discriminator in bounded BCK-algebras. Zbl 1201.06015
Torrens, Antoni
2
2010
Logics preserving degrees of truth from varieties of residuated lattices. Zbl 1197.03023
Bou, Félix; Esteva, Francesc; Font, Josep Maria; Gil, Àngel J.; Godo, Lluís; Torrens, Antoni; Verdú, Ventura
24
2009
Boolean representation of bounded BCK-algebras. Zbl 1160.06009
Gispert, Joan; Torrens, Antoni
6
2008
An approach to Glivenko’s theorem in algebraizable logics. Zbl 1147.03037
Torrens, Antoni
3
2008
Bounded BCK-algebras and their generated variety. Zbl 1123.06010
Gispert, Joan; Torrens, Antoni
10
2007
Free algebras in varieties of Glivenko MTL-algebras satisfying the equation \(2(x^{2}) = (2x)^{2}\). Zbl 1115.06006
Cignoli, Roberto; Torrens Torrell, Antoni
34
2006
On the infinite-valued Łukasiewicz logic that preserves degrees of truth. Zbl 1117.03027
Font, Josep Maria; Gil, Àngel J.; Torrens, Antoni; Verdú, Ventura
15
2006
Decomposability of free Łukasiewicz implication algebras. Zbl 1110.03063
Díaz Varela, Jose Patricio; Torrens Torrell, Antoni
3
2006
Standard completeness of Hájek basic logic and decompositions of BL-chains. Zbl 1094.03013
Cignoli, R.; Torrens, A.
7
2005
Axiomatic extensions of IMT3 logic. Zbl 1097.03017
Gispert, Joan; Torrens, Antoni
3
2005
Glivenko like theorems in natural expansions of BCK-logic. Zbl 1045.03026
Cignoli, Roberto; Torrens Torrell, Antoni
34
2004
Topological representation for implication algebras. Zbl 1093.03037
Abad, Manuel; Díaz Varela, J. Patricio; Torrens, Antoni
6
2004
Hájek basic fuzzy logic and Łukasiewicz infinite-valued logic. Zbl 1025.03018
Cignoli, Roberto; Torrens, Antoni
20
2003
Decomposability of free Tarski algebras. Zbl 1091.03030
Díaz Varela, J. Patricio; Torrens, Antoni
6
2003
Free algebras in varieties of BL-algebras with a Boolean retract. Zbl 1058.03077
Cignoli, Roberto; Torrens, Antoni
16
2002
An algebraic analysis of product logic. Zbl 0962.03059
Cignoli, Roberto; Torrens, Antoni
39
2000
Free cancellative hoops. Zbl 1012.06015
Cignoli, Roberto; Torrens, Antoni
10
2000
Free Stone algebras. Zbl 0982.06010
Cignoli, Roberto; Torrens, Antoni
2
2000
Ultraproducts of \(\mathbb{Z}\) with an application to many-valued logics. Zbl 0937.06008
Gispert i Brasó, Joan; Mundici, Daniele; Torrens Torrell, Antoni
8
1999
Quasivarieties generated by simple MV-algebras. Zbl 0960.08003
Gispert, Joan; Torrens, Antoni
6
1998
On Gentzen systems associated with the finite linear MV-algebras. Zbl 0939.03078
Gil, Àngel J.; Torrens, Antoni; Verdú, Ventura
5
1997
Boolean products of MV-algebras: hypernormal MV-algebras. Zbl 0849.06012
Cignoli, Roberto; Torrens Torrell, Antoni
16
1996
The poset of prime \(l\)-ideals of an abelian \(l\)-group with a strong unit. Zbl 0858.06008
Cignoli, Roberto; Torrens, Antoni
11
1996
Retractive MV-algebras. Zbl 0857.06006
Cignoli, Roberto; Torrens, Antoni
4
1995
Cyclic elements in MV-algebras and Post algebras. Zbl 0815.06009
Torrens, Antoni
13
1994
Wajsberg algebras and Post algebras. Zbl 0808.03048
Rodríguez, Antonio Jesús; Torrens, Antoni
5
1994
Lukasiewicz logic and Wajsberg algebras. Zbl 0717.03027
Rodriguez, Antonio J.; Torrens, Antoni; Verdú, Ventura
5
1990
Boolean products of CW-algebras and pseudo-complementation. Zbl 0741.06009
Torrens, Antoni
6
1989
On the role of the polynomial (X\(\rightarrow Y)\rightarrow Y\) in some implicative algebras. Zbl 0621.03043
Torrens, Antoni
5
1988
W-algebras which are Boolean products of members of SR[1] and CW- algebras. Zbl 0621.03042
Torrens, Antoni
15
1987
Wajsberg algebras. Zbl 0557.03040
Font, Josep M.; Rodríguez, Antonio J.; Torrens, Antoni
51
1984
all top 5

Cited by 244 Authors

16 Cignoli, Roberto
16 Torrens Torrell, Antoni
15 Montagna, Franco
14 Díaz Varela, José Patricio
12 Esteva, Francesc
11 Gispert, Joan
10 Agliano, Paolo
9 Godo, Lluís
9 Noguera, Carles
8 Castaño, Diego Nicolás
8 Font, Josep Maria
8 Rachůnek, Jiří
8 Rivieccio, Umberto
8 Ugolini, Sara
7 Busaniche, Manuela
7 Di Nola, Antonio
7 Haniková, Zuzana
7 Jansana, Ramon
6 Bianchi, Matteo
6 Dvurečenskij, Anatolij
6 Paoli, Francesco
5 Abad, Manuel
5 Ledda, Antonio
5 Rump, Wolfgang
4 Cintula, Petr
4 Flaminio, Tommaso
4 Gerla, Brunella
4 Gluschankof, Daniel
4 Jenei, Sándor
4 Spinks, Matthew
4 Turunen, Esko
4 Zhao, Bin
3 Aguzzoli, Stefano
3 Albuquerque, Hugo
3 Bou, Félix
3 Cimadamore, Cecilia Rossana
3 Ciungu, Lavinia Corina
3 Coniglio, Marcelo Esteban
3 Figallo Orellano, Aldo
3 Freytes, Hector
3 Fussner, Wesley
3 Galatos, Nikolaos
3 Iorgulescu, Afrodita
3 Kim, Hee Sik
3 Kowalski, Tomasz
3 Leuştean, Ioana
3 Marcos, Miguel Andrés
3 Mesiar, Radko
3 Neggers, Joseph
3 Ono, Hiroakira
3 Šalounová, Dana
3 Verdú, Ventura
3 Zhou, Hongjun
2 Belluce, Lawrence Peter
2 Bonacina, Maria Paola
2 Buşneag, Dumitru
2 Castiglioni, José Luis
2 Chen, Wenjuan
2 Cornejo, Juan Manuel
2 Cornelis, Chris
2 Deschrijver, Glad
2 El-Zekey, Moataz Saleh
2 Flaut, Cristina
2 Gaitán, Hernando
2 García-Cerdaña, Àngel
2 Georgescu, George
2 Gil, Àngel J.
2 He, Pengfei
2 Jun, Young Bae
2 Kerre, Etienne E.
2 Klement, Erich Peter
2 Lele, Celestin
2 Lettieri, Ada
2 Leuştean, Laurenţiu
2 Lucas, François
2 Manyà, Felip
2 Metcalfe, George
2 Moraschini, Tommaso
2 Mundici, Daniele
2 Navara, Mirko
2 Novák, Vilém
2 Panti, Giovanni
2 Piciu, Dana
2 Rueda, Laura A.
2 Russo, Ciro
2 Slezák, Vladimír
2 Svoboda, Zdeněk
2 Tsinakis, Constantine
2 Van Gasse, Bart
2 Vidal, Amanda
2 Weber, Siegfried
1 Adillon, Romà J.
1 Ahn, Sun Shin
1 Allen, Paul J.
1 Ambrosio, Rosanna
1 Ameri, Reza
1 Anantharaman, Siva
1 Ansótegui, Carlos
1 Ardanza-Trevijano, Sergio
1 Arthan, Rob D.
...and 144 more Authors
all top 5

Cited in 54 Serials

39 Fuzzy Sets and Systems
35 Studia Logica
30 Soft Computing
20 Archive for Mathematical Logic
18 Algebra Universalis
9 Annals of Pure and Applied Logic
8 Journal of Algebra
6 Czechoslovak Mathematical Journal
6 Information Sciences
6 Journal of Pure and Applied Algebra
5 Mathematical Logic Quarterly (MLQ)
4 Journal of Mathematical Analysis and Applications
4 Mathematica Slovaca
4 Order
4 International Journal of Approximate Reasoning
4 Journal of Applied Non-Classical Logics
4 Central European Journal of Mathematics
3 The Journal of Symbolic Logic
2 International Journal of Theoretical Physics
2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
2 International Journal of Mathematics and Mathematical Sciences
2 The Bulletin of Symbolic Logic
2 Journal of Intelligent and Fuzzy Systems
2 Journal of Multiple-Valued Logic and Soft Computing
2 The Review of Symbolic Logic
2 Algebraic Structures and their Applications
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 International Journal of General Systems
1 Kybernetika
1 Notre Dame Journal of Formal Logic
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Semigroup Forum
1 Siberian Mathematical Journal
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 Bulletin of the Section of Logic
1 History and Philosophy of Logic
1 Journal of Automated Reasoning
1 International Journal of Algebra and Computation
1 Novi Sad Journal of Mathematics
1 Discrete Dynamics in Nature and Society
1 Advances in Geometry
1 Journal of the Australian Mathematical Society
1 Logic and Logical Philosophy
1 Algebra and Discrete Mathematics
1 ACM Transactions on Computational Logic
1 Journal of Applied Logic
1 Iranian Journal of Fuzzy Systems
1 New Mathematics and Natural Computation
1 Symmetry
1 Afrika Matematika
1 Palestine Journal of Mathematics
1 Axioms

Citations by Year