×

Dvurečenskij, Anatolij

Compute Distance To:
Author ID: dvurecenskij.anatolij Recent zbMATH articles by "Dvurečenskij, Anatolij"
Published as: Dvurečenskij, Anatolij; Dvurečenskij, A.; Dvurecenskij, Anatolij; Dvurechenskij, A.; Dvurčenskij, Anatolij; Dvurecenskij, A.
Further Spellings: Dvurechenskij, Anatolij Vasilevich
Homepage: http://www.mat.savba.sk/~dvurecenskij/
External Links: MGP · dblp · GND
Documents Indexed: 301 Publications since 1976, including 3 Books
12 Contributions as Editor
Reviewing Activity: 302 Reviews
Biographic References: 1 Publication
Co-Authors: 63 Co-Authors with 182 Joint Publications
877 Co-Co-Authors
all top 5

Serials

51 International Journal of Theoretical Physics
31 Mathematica Slovaca
26 Soft Computing
19 Fuzzy Sets and Systems
13 Tatra Mountains Mathematical Publications
12 Demonstratio Mathematica
11 Reports on Mathematical Physics
10 Algebra Universalis
9 Foundations of Physics
8 Journal of the Australian Mathematical Society
7 Letters in Mathematical Physics
6 Atti del Seminario Matematico e Fisico dell’Università di Modena
5 Aplikace Matematiky
5 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Communications in Algebra
4 Journal of Mathematical Analysis and Applications
4 Information Sciences
4 Kybernetika
4 Bulletin pour les Sous Ensembles Flous et Leurs Applications
3 International Journal of General Systems
3 Journal of Applied Probability
3 Studia Logica
3 Acta Mathematica Universitatis Comenianae
3 Annals of Pure and Applied Logic
3 Order
2 Journal of Mathematical Physics
2 Czechoslovak Mathematical Journal
2 Mathematica Japonica
2 Proceedings of the American Mathematical Society
2 Soviet Journal of Computer and Systems Sciences
2 International Journal of Approximate Reasoning
2 Archive for Mathematical Logic
1 Acta Universitatis Carolinae. Mathematica et Physica
1 Discrete Mathematics
1 Helvetica Physica Acta
1 Commentationes Mathematicae Universitatis Carolinae
1 Fasciculi Mathematici
1 Glasgow Mathematical Journal
1 Indian Journal of Mathematics
1 Journal of Algebra
1 Journal of Pure and Applied Algebra
1 Mathematische Nachrichten
1 Ricerche di Matematica
1 Semigroup Forum
1 Transactions of the American Mathematical Society
1 Journal of Logic and Computation
1 Applications of Mathematics
1 Journal of the Australian Mathematical Society. Series A
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Acta Universitatis Matthiae Belii. Series Mathematics
1 Multiple-Valued Logic
1 Fundamenta Informaticae
1 Journal of Multiple-Valued Logic and Soft Computing
1 Journal of Applied Logic
1 Iranian Journal of Fuzzy Systems
1 Atti del Seminario Matematico e Fisico dell’ Università di Modena e Reggio Emilia
1 Mathematics and its Applications (Dordrecht)
1 Mathematics and its Applications. East European Series
1 Dějiny Matematiky / History of Mathematics
1 Bollettino dell’Unione Matematica Italiana

Publications by Year

Citations contained in zbMATH Open

233 Publications have been cited 2,240 times in 899 Documents Cited by Year
New trends in quantum structures. Zbl 0987.81005
Dvurečenskij, Anatolij; Pulmannová, Sylvia
351
2000
Pseudo MV-algebras are intervals in \(\ell\)-groups. Zbl 1027.06014
Dvurečenskij, Anatolij
136
2002
Pseudoeffect algebras. I: Basic properties. Zbl 0994.81008
Dvurečenskij, Anatolij; Vetterlein, Thomas
97
2001
Pseudoeffect algebras. II: Group representations. Zbl 0994.81009
Dvurečenskij, Anatolij; Vetterlein, Thomas
78
2001
States on pseudo MV-algebras. Zbl 0999.06011
Dvurečenskij, Anatolij
73
2001
Gleason’s theorem and its applications. Zbl 0795.46045
Dvurečenskij, Anatolij
53
1993
State-morphism MV-algebras. Zbl 1186.06007
Di Nola, Antonio; Dvurečenskij, Anatolij
39
2009
Tensor product of difference posets. Zbl 0859.03031
Dvurečenskij, Anatolij
34
1995
Difference posets, effects, and quantum measurements. Zbl 0806.03040
Dvurečenskij, Anatolij; Pulmannová, Sylvia
31
1994
Loomis-Sikorski theorem for \(\sigma\)-complete MV-algebras and \(\ell\)-groups. Zbl 0958.06006
Dvurečenskij, Anatolij
31
2000
Product MV-algebras. Zbl 1016.06006
Di Nola, A.; Dvurecenskij, A.
29
2001
Central elements and Cantor-Bernstein’s theorem for pseudo-effect algebras. Zbl 1033.03036
Dvurečenskij, Anatolij
29
2003
Every linear pseudo BL-algebra admits a state. Zbl 1122.06012
Dvurečenskij, Anatolij
28
2007
Probabilistic averaging in bounded commutative residuated \(\ell\)-monoids. Zbl 1105.06011
Dvurečenskij, Anatolij; Rachůnek, Jiří
27
2006
Algebras in the positive cone of po-groups. Zbl 1012.03064
Dvurečenskij, Anatolij; Vetterlein, Thomas
26
2002
State BL-algebras. Zbl 1251.03096
Ciungu, Lavinia Corina; Dvurečenskij, Anatolij; Hyčko, Marek
24
2011
Aglianò-Montagna type decomposition of linear pseudo hoops and its applications. Zbl 1123.06007
Dvurečenskij, Anatolij
23
2007
On varieties of MV-algebras with internal states. Zbl 1213.06006
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
22
2010
State BCK-algebras and state-morphism BCK-algebras. Zbl 1315.06021
Borzooei, R. A.; Dvurečenskij, A.; Zahiri, O.
21
2014
On Riečan and Bosbach states for bounded non-commutative \(\mathrm{R}\ell\)-monoids. Zbl 1141.06005
Dvurečenskij, Anatolij; Rachůnek, Jiří
21
2006
Probabilistic averaging in bounded \(R\ell\)-monoids. Zbl 1105.06010
Dvurečenskij, Anatolij; Rachůnek, Jiří
19
2006
On pseudo MV-algebras. Zbl 0998.06010
Dvurečenskij, A.
19
2001
Observables on quantum structures. Zbl 1329.81140
Dvurečenskij, Anatolij; Kuková, Mária
19
2014
State operators on generalizations of fuzzy structures. Zbl 1266.03071
Dvurečenskij, Anatolij; Rachůnek, Jiří; Šalounová, Dana
18
2012
Loomis-Sikorski representation of monotone \(\sigma\)-complete effect algebras. Zbl 1097.06010
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij
17
2006
Bounded commutative residuated \(\ell\)-monoids with general comparability and states. Zbl 1096.06008
Dvurečenskij, A.; Rachůnek, J.
17
2006
Perfect effect algebras are categorically equivalent with abelian interpolation po-groups. Zbl 1117.06009
Dvurečenskij, Anatolij
17
2007
Good and bad infinitesimals, and states on pseudo MV-algebras. Zbl 1081.06010
Di Nola, Antonio; Dvurečenskij, Anatolij; Jakubík, Ján
16
2004
Perfect GMV-algebras. Zbl 1146.06007
Di Nola, A.; Dvurečenskij, A.; Tsinakis, C.
16
2008
Top varieties of generalized MV-algebras and unital lattice-ordered groups. Zbl 1131.06011
Dvurečenskij, Anatolij; Holland, W. Charles
16
2007
Fuzzy quantum spaces and compatibility. Zbl 0657.60004
Dvurečenskij, Anatolij; Chovanec, Ferdinand
16
1988
On some classes of state-morphism MV-algebras. Zbl 1212.06028
Di Nola, Antonio; Dvurečenskij, Anatolij
15
2009
On joint distribution of observables for \(F\)-quantum spaces. Zbl 0814.03041
Dvurečenskij, Anatolij; Riečan, Beloslav
15
1991
D-test spaces and difference posets. Zbl 0820.03038
Dvurečenskij, Anatolij; Pulmannová, Sylvia
15
1994
On the structure of pseudo BL-algebras and pseudo hoops in quantum logics. Zbl 1227.81012
Dvurečenskij, A.; Giuntini, R.; Kowalski, T.
15
2010
Fuzzy quantum models. Zbl 0746.60004
Dvurečenskij, Anatolij; Riečan, Beloslav
14
1991
State-morphism algebras – general approach. Zbl 1314.06013
Botur, Michal; Dvurečenskij, Anatolij
14
2013
Generalized pseudo-effect algebras. Zbl 1012.03063
Dvurečenskij, Anatolij; Vetterlein, Thomas
12
2001
Non-commutative algebras and quantum structures. Zbl 1075.81010
Dvurečenskij, Anatolij; Vetterlein, Thomas
12
2004
Symmetric difference in orthomodular lattices. Zbl 0890.06006
Dorfer, Gerhard; Dvurečenskij, Anatolij; Länger, Helmut
12
1996
Measures, states and de Finetti maps on pseudo-BCK algebras. Zbl 1226.06015
Ciungu, Lavinia Corina; Dvurečenskij, Anatolij
12
2010
Representable effect algebras and observables. Zbl 1308.81011
Dvurečenskij, Anatolij
12
2014
Tensor products of \(D\)-posets and \(D\)-test spaces. Zbl 0830.03031
Dvurečenskij, Anatolij; Pulmannová, Sylvia
11
1994
Decompositions of measures on orthoalgebras and difference posets. Zbl 0815.03038
Dvurečenskij, Anatolij; Riečan, Beloslav
10
1994
Ideals of pseudo-effect algebras and their applications. Zbl 1068.03056
Dvurečenskij, Anatolij
10
2003
Tensor product of difference posets and effect algebras. Zbl 0839.03045
Dvurečenskij, Anatolij
10
1995
Partition logics, orthoalgebras and automata. Zbl 0836.03037
Dvurečenskij, Anatolij; Pulmannová, Sylvia; Svozil, Karl
10
1995
Subdirectly irreducible state-morphism BL-algebras. Zbl 1215.06006
Dvurečenskij, Anatolij
10
2011
State morphism MV-algebras. Zbl 1251.06001
Dvurečenskij, Anatolij; Kowalski, Tomasz; Montagna, Franco
10
2011
Effect algebras which can be covered by MV-algebras. Zbl 1022.06005
Dvurečenskij, Anatolij
9
2002
Every state on interval effect algebra is integral. Zbl 1312.81009
Dvurečenskij, Anatolij
9
2010
On partial addition in pseudo MV-algebras. Zbl 0984.06009
Dvurečenskij, Anatolij
9
1999
On \(n\)-perfect GMV-algebras. Zbl 1152.06008
Dvurečenskij, Anatolij
9
2008
State on splitting subspaces and completeness of inner product spaces. Zbl 0661.46019
Dvurečenskij, Anatolij; Pulmannová, Sylvia
9
1988
A note on a sum of observables in F-quantum spaces and its properties. Zbl 0662.03057
Dvurečenskij, Anatolij; Tirpáková, Anna
9
1988
Connection between joint distribution and compatibility. Zbl 0552.03041
Dvurečenskij, Anatolij; Pulmannová, Sylvia
9
1984
Olson order of quantum observables. Zbl 1358.81011
Dvurečenskij, Anatolij
9
2016
On pseudo-effect algebras which can be covered by pseudo MV-algebras. Zbl 1039.03049
Dvurečenskij, Anatolij; Vetterlein, Thomas
8
2003
Quantum observables and effect algebras. Zbl 1394.81020
Dvurečenskij, Anatolij
8
2018
On representations of commutative BCK-algebras. Zbl 0942.06009
Dvurečenskij, Anatolij; Graziano, Maria Gabriella
8
1999
Entropy on effect algebras with Riesz decomposition property. II: MV-algebras. Zbl 1249.03116
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
8
2005
Kites and pseudo BL-algebras. Zbl 1314.06015
Dvurečenskij, Anatolij; Kowalski, Tomasz
8
2014
The uniqueness question in the multidimensional moment problem with application to phase space observables. Zbl 1058.47010
Dvurčenskij, Anatolij; Lahti, Pekka; Ylinen, Kari
7
2002
Conditional probability on \(\sigma\)-MV-algebras. Zbl 1080.06012
Dvurečenskij, A.; Pulmannová, S.
7
2005
Weakly divisible MV-algebras and product. Zbl 0942.06003
Dvurečenskij, Anatolij; Riečan, Beloslav
7
1999
Gleason’s theorem and completeness of inner product spaces. Zbl 0663.46060
Dvurečenskij, Anatolij; Mišík, Ladislav jun.
7
1988
A signed measure completeness criterion. Zbl 0696.46024
Dvurečenskij, Anatolij; Pulmannová, Sylvia
7
1989
Kite pseudo effect algebras. Zbl 1297.81015
Dvurečenskij, Anatolij
7
2013
States on quantum structures versus integrals. Zbl 1250.81013
Dvurečenskij, Anatolij
7
2011
The lexicographic product of po-groups and \(n\)-perfect pseudo effect algebras. Zbl 1274.81009
Dvurečenskij, Anatolij; Krňávek, Jan
7
2013
Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated \(\ell \)-monoids. Zbl 1150.03347
Dvurečenskij, Anatolij; Hyčko, Marek
6
2006
On the structure of linearly ordered pseudo-BCK-algebras. Zbl 1182.06009
Dvurečenskij, Anatolij; Kühr, Jan
6
2009
Sum of observables in fuzzy quantum spaces. Zbl 0753.60005
Dvurečenskij, Anatolij; Tirpáková, Anna
6
1992
MV-observables and MV-algebras. Zbl 0992.03081
Dvurečenskij, Anatolij
6
2001
Discrete \((n+1)\)-valued states and \(n\)-perfect pseudo-effect algebras. Zbl 1328.06012
Dvurečenskij, Anatolij; Xie, Yongjian; Yang, Aili
6
2013
Sum of observables on MV-effect algebras. Zbl 1398.06012
Dvurečenskij, Anatolij
6
2018
Observables on perfect MV-algebras. Zbl 1423.06047
Di Nola, Antonio; Dvurečenskij, Anatolij; Lenzi, Giacomo
6
2019
On EMV-algebras. Zbl 1423.06048
Dvurečenskij, Anatolij; Zahiri, Omid
6
2019
Remarks on representations of minimal clans. Zbl 0939.06017
Dvurečenskij, Anatolij; Graziano, Maria Gabriela
6
1998
Signed states on a logic. Zbl 0372.02017
Dvurecenskij, Anatolij
6
1978
On convergences of signed states. Zbl 0421.28003
Dvurecenskij, Anatolij
6
1978
On joint observable for F-quantum spaces. Zbl 0662.03056
Dvurečenskij, Anatolij; Riečan, Beloslav
6
1988
States on families of subspaces of pre-Hilbert spaces. Zbl 0696.46023
Dvurečenskij, Anatolij
6
1989
On a problem of the busy-period determination in queues with infinitely many servers. Zbl 0533.60098
Dvurečenskij, A.; Kuljukina, L. A.; Ososkov, G. A.
6
1984
Erratum to “State-morphism MV-algebras”. Zbl 1221.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
6
2010
On normal-valued basic pseudo-hoops. Zbl 1270.03136
Botur, Michal; Dvurečenskij, Anatolij; Kowalski, Tomasz
6
2012
On orders of observables on effect algebras. Zbl 1387.81015
Dvurečenskij, Anatolij
5
2017
D-homomorphisms and atomic \(\sigma \)-complete Boolean D-posets. Zbl 0993.03083
Dvurečenskij, A.; Chovanec, F.; Rybáriková, E.
5
2000
Infinitary lattice and Riesz properties of pseudoeffect algebras and po-groups. Zbl 1044.06008
Dvurečenskij, Anatolij; Vetterlein, Thomas
5
2003
On Gleason’s theorem without Gleason. Zbl 1175.81005
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij
5
2009
States on pseudo MV-algebras and the hull-kernel topology. Zbl 1096.06009
Dvurečenskij, Anatolij; Kalmbach, Gudrun
5
2002
Generalization of Maeda’s theorem. Zbl 0618.46053
Dvurečenskij, Anatolij
5
1986
On the existence of probability measures on fuzzy measurable spaces. Zbl 0742.28009
Dvurečenskij, Anatolij
5
1991
The Radon-Nikodým theorem for fuzzy probability spaces. Zbl 0747.60005
Dvurečenskij, Anatolij
5
1992
Cyclic elements and subalgebras of GMV-algebras. Zbl 1202.06008
Dvurečenskij, Anatolij
5
2010
On states on orthogonally closed subspaces of an inner product space. Zbl 1019.81003
Dvurečenskij, Anatolij; Pták, Pavel
5
2002
Bell-type inequalities in orthomodular lattices. I: Inequalities of order 2. Zbl 0842.03043
Dvurečenskij, Anatolij; Länger, Helmut
5
1995
\(L\)-ordered and \( L\)-lattice ordered groups. Zbl 1387.06005
Borzooei, R. A.; Dvurečenskij, A.; Zahiri, O.
5
2015
Lexicographic product vs \(\mathbb Q\)-perfect and \(\mathbb H\)-perfect pseudo effect algebras. Zbl 1332.03014
Dvurečenskij, Anatolij; Kolařík, Miroslav
5
2014
Loomis-Sikorski theorem and Stone duality for effect algebras with internal state. Zbl 1235.06009
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij
5
2011
An approach to stochastic processes via non-classical logic. Zbl 1491.06023
Di Nola, Antonio; Dvurečenskij, Anatolij; Lapenta, Serafina
1
2021
Lifting, \(n\)-dimensional spectral resolutions, and \(n\)-dimensional observables. Zbl 1471.06006
Dvurečenskij, Anatolij; Lachman, Dominik
1
2020
Spectral resolutions and observables in \(n\)-perfect MV-algebras. Zbl 1436.06030
Dvurečenskij, Anatolij; Lachman, Dominik
1
2020
Two-dimensional observables and spectral resolutions. Zbl 1441.81004
Dvurečenskij, Anatolij; Lachman, Dominik
1
2020
Spectral resolutions and quantum observables. Zbl 1447.81123
Dvurečenskij, Anatolij; Lachman, Dominik
1
2020
Observables on perfect MV-algebras. Zbl 1423.06047
Di Nola, Antonio; Dvurečenskij, Anatolij; Lenzi, Giacomo
6
2019
On EMV-algebras. Zbl 1423.06048
Dvurečenskij, Anatolij; Zahiri, Omid
6
2019
States on EMV-algebras. Zbl 1418.06008
Dvurečenskij, Anatolij; Zahiri, Omid
4
2019
The Loomis-Sikorski theorem for EMV-algebras. Zbl 1439.06007
Dvurečenskij, Anatolij; Zahiri, Omid
3
2019
Perfect effect algebras and spectral resolutions of observables. Zbl 1431.81020
Dvurečenskij, Anatolij
1
2019
Generalized pseudo-EMV-effect algebras. Zbl 1430.06007
Dvurečenskij, Anatolij; Zahiri, Omid
1
2019
Observables on lexicographic effect algebras. Zbl 1445.03074
Dvurečenskij, Anatolij; Lachman, Dominik
1
2019
Quantum observables and effect algebras. Zbl 1394.81020
Dvurečenskij, Anatolij
8
2018
Sum of observables on MV-effect algebras. Zbl 1398.06012
Dvurečenskij, Anatolij
6
2018
Material implications in lattice effect algebras. Zbl 1437.06009
Borzooei, R. A.; Dvurečenskij, A.; Sharafi, A. H.
5
2018
Morphisms on EMV-algebras and their applications. Zbl 1401.06010
Dvurečenskij, Anatolij; Zahiri, Omid
4
2018
Generalized EMV-effect algebras. Zbl 1401.81006
Borzooei, R. A.; Dvurečenskij, A.; Sharafi, A. H.
2
2018
On orders of observables on effect algebras. Zbl 1387.81015
Dvurečenskij, Anatolij
5
2017
Hyper effect algebras. Zbl 1387.03072
Dvurečenskij, Anatolij; Hyčko, Marek
4
2017
Olson order of quantum observables. Zbl 1358.81011
Dvurečenskij, Anatolij
9
2016
Pseudo equality algebras: revision. Zbl 1373.06024
Dvurečenskij, Anatolij; Zahiri, Omid
5
2016
Lexicographic effect algebras. Zbl 1350.03046
Dvurečenskij, Anatolij
4
2016
On pseudo-BL-algebras and pseudo-hoops with normal maximal filters. Zbl 1372.06005
Botur, Michal; Dvurečenskij, Anatolij
2
2016
Riesz decomposition properties and the lexicographic product of po-groups. Zbl 1373.06021
Dvurečenskij, Anatolij
2
2016
Prof. RNDr. Ján Jakubík, DrSc. passed away. Zbl 1389.01012
Dvurečenskij, Anatolij
1
2016
Tibor Neubrunn (1929–1990). Zbl 1463.01001
Dvurečenskij, Anatolij; Holá, Ľubica; Janková, Katarína; Riečan, Beloslav
1
2016
\(L\)-ordered and \( L\)-lattice ordered groups. Zbl 1387.06005
Borzooei, R. A.; Dvurečenskij, A.; Zahiri, O.
5
2015
Lexicographic pseudo MV-algebras. Zbl 1380.06008
Dvurečenskij, Anatolij
3
2015
\(\mathbb H\)-perfect pseudo MV-algebras and their representations. Zbl 1363.06014
Dvurečenskij, Anatolij
3
2015
Kite \(n\)-perfect pseudo effect algebras. Zbl 1332.03013
Botur, Michal; Dvurečenskij, Anatolij
2
2015
On a new construction of pseudo BL-algebras. Zbl 1374.06021
Dvurečenskij, Anatolij
2
2015
States on quantum and algebraic structures and their integral representation. Zbl 1335.81087
Dvurečenskij, Anatolij
1
2015
Quantum structures versus partially ordered groups. Zbl 1329.81093
Dvurečenskij, Anatolij
1
2015
State BCK-algebras and state-morphism BCK-algebras. Zbl 1315.06021
Borzooei, R. A.; Dvurečenskij, A.; Zahiri, O.
21
2014
Observables on quantum structures. Zbl 1329.81140
Dvurečenskij, Anatolij; Kuková, Mária
19
2014
Representable effect algebras and observables. Zbl 1308.81011
Dvurečenskij, Anatolij
12
2014
Kites and pseudo BL-algebras. Zbl 1314.06015
Dvurečenskij, Anatolij; Kowalski, Tomasz
8
2014
Lexicographic product vs \(\mathbb Q\)-perfect and \(\mathbb H\)-perfect pseudo effect algebras. Zbl 1332.03014
Dvurečenskij, Anatolij; Kolařík, Miroslav
5
2014
Some remarks on kite pseudo effect algebras. Zbl 1310.81017
Dvurečenskij, Anatolij; Holland, W. Charles
4
2014
\(n\)-perfect and \(\mathbb Q\)-perfect pseudo effect algebras. Zbl 1302.81034
Dvurečenskij, Anatolij; Xie, Yongjian
1
2014
State-morphism algebras – general approach. Zbl 1314.06013
Botur, Michal; Dvurečenskij, Anatolij
14
2013
Kite pseudo effect algebras. Zbl 1297.81015
Dvurečenskij, Anatolij
7
2013
The lexicographic product of po-groups and \(n\)-perfect pseudo effect algebras. Zbl 1274.81009
Dvurečenskij, Anatolij; Krňávek, Jan
7
2013
Discrete \((n+1)\)-valued states and \(n\)-perfect pseudo-effect algebras. Zbl 1328.06012
Dvurečenskij, Anatolij; Xie, Yongjian; Yang, Aili
6
2013
Smearing of observables and spectral measures on quantum structures. Zbl 1270.81012
Dvurečenskij, Anatolij
3
2013
On bilinear forms from the point of view of generalized effect algebras. Zbl 1285.81003
Dvurečenskij, Anatolij; Janda, Jiří
2
2013
State operators on generalizations of fuzzy structures. Zbl 1266.03071
Dvurečenskij, Anatolij; Rachůnek, Jiří; Šalounová, Dana
18
2012
On normal-valued basic pseudo-hoops. Zbl 1270.03136
Botur, Michal; Dvurečenskij, Anatolij; Kowalski, Tomasz
6
2012
Erratum to: “State operators on generalizations of fuzzy structures”. Zbl 1251.03097
Dvurečenskij, A.; Rachůnek, J.; Šalounová, D.
5
2012
Stone duality type theorems for MV-algebras with internal state. Zbl 1259.06015
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
2
2012
Atomic effect algebras with the Riesz decomposition property. Zbl 1447.81014
Dvurečenskij, Anatolij; Xie, Yongjian
2
2012
State BL-algebras. Zbl 1251.03096
Ciungu, Lavinia Corina; Dvurečenskij, Anatolij; Hyčko, Marek
24
2011
Subdirectly irreducible state-morphism BL-algebras. Zbl 1215.06006
Dvurečenskij, Anatolij
10
2011
State morphism MV-algebras. Zbl 1251.06001
Dvurečenskij, Anatolij; Kowalski, Tomasz; Montagna, Franco
10
2011
States on quantum structures versus integrals. Zbl 1250.81013
Dvurečenskij, Anatolij
7
2011
Loomis-Sikorski theorem and Stone duality for effect algebras with internal state. Zbl 1235.06009
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij
5
2011
On states on MV-algebras and their applications. Zbl 1237.06004
Dvurečenskij, Anatolij
4
2011
On decomposition of pseudo BL-algebras. Zbl 1265.06030
Dvurečenskij, Anatolij; Kowalski, Tomasz
4
2011
Representation of states on effect-tribes and effect algebras by integrals. Zbl 1238.81008
Dvurečenskij, Anatolij
4
2011
The lattice and simplex structure of states on pseudo effect algebras. Zbl 1242.81014
Dvurečenskij, Anatolij
3
2011
Quasi-splitting subspaces and Foulis-Randall subspaces. Zbl 1273.81017
Buhagiar, D.; Chetcuti, E.; Dvurečenskij, A.
2
2011
States on pseudo effect algebras and integrals. Zbl 1226.81017
Dvurečenskij, Anatolij
2
2011
Decompositions of measures on pseudo effect algebras. Zbl 1244.03170
Dvurečenskij, Anatolij
1
2011
On varieties of MV-algebras with internal states. Zbl 1213.06006
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
22
2010
On the structure of pseudo BL-algebras and pseudo hoops in quantum logics. Zbl 1227.81012
Dvurečenskij, A.; Giuntini, R.; Kowalski, T.
15
2010
Measures, states and de Finetti maps on pseudo-BCK algebras. Zbl 1226.06015
Ciungu, Lavinia Corina; Dvurečenskij, Anatolij
12
2010
Every state on interval effect algebra is integral. Zbl 1312.81009
Dvurečenskij, Anatolij
9
2010
Erratum to “State-morphism MV-algebras”. Zbl 1221.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
6
2010
Cyclic elements and subalgebras of GMV-algebras. Zbl 1202.06008
Dvurečenskij, Anatolij
5
2010
On the Loomis-Sikorski theorem for MV-algebras with internal state. Zbl 1235.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
3
2010
Multipotent GBL-algebras. Zbl 1206.06009
Dvurečenskij, Anatolij; Kowalski, Tomasz
1
2010
Foreword to the special issue: Multiple-valued logic and its algebras. Zbl 1236.03016
Dvurecenskij, Anatolij; Georgescu, George; Iorgulescu, Afrodita; Rudeanu, Sergiu
1
2010
State-morphism MV-algebras. Zbl 1186.06007
Di Nola, Antonio; Dvurečenskij, Anatolij
39
2009
On some classes of state-morphism MV-algebras. Zbl 1212.06028
Di Nola, Antonio; Dvurečenskij, Anatolij
15
2009
On the structure of linearly ordered pseudo-BCK-algebras. Zbl 1182.06009
Dvurečenskij, Anatolij; Kühr, Jan
6
2009
On Gleason’s theorem without Gleason. Zbl 1175.81005
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij
5
2009
Covers of the abelian variety of generalized MV-algebras. Zbl 1190.06009
Dvurečenskij, Anatolij; Holland, W. Charles
4
2009
Komori’s characterization and top varieties of GMV-algebras. Zbl 1168.06007
Dvurečenskij, Anatolij; Holland, W. Charles
3
2009
Free products of unital \(\ell \)-groups and free products of generalized MV-algebras. Zbl 1194.06007
Dvurečenskij, Anatolij; Holland, W. Charles
2
2009
Perfect GMV-algebras. Zbl 1146.06007
Di Nola, A.; Dvurečenskij, A.; Tsinakis, C.
16
2008
On \(n\)-perfect GMV-algebras. Zbl 1152.06008
Dvurečenskij, Anatolij
9
2008
On two versions of the Loomis-Sikorski theorem for algebraic structures. Zbl 1150.03018
Dvurečenskij, Anatolij; Ventriglia, Flavia
1
2008
Every linear pseudo BL-algebra admits a state. Zbl 1122.06012
Dvurečenskij, Anatolij
28
2007
Aglianò-Montagna type decomposition of linear pseudo hoops and its applications. Zbl 1123.06007
Dvurečenskij, Anatolij
23
2007
Perfect effect algebras are categorically equivalent with abelian interpolation po-groups. Zbl 1117.06009
Dvurečenskij, Anatolij
17
2007
Top varieties of generalized MV-algebras and unital lattice-ordered groups. Zbl 1131.06011
Dvurečenskij, Anatolij; Holland, W. Charles
16
2007
Algebraic and measure-theoretic properties of classes of subspaces of an inner product space. Zbl 1136.81003
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij
5
2007
New quantum structures. Zbl 1134.81006
Dvurečenskij, Anatolij
4
2007
Probabilistic averaging in bounded commutative residuated \(\ell\)-monoids. Zbl 1105.06011
Dvurečenskij, Anatolij; Rachůnek, Jiří
27
2006
On Riečan and Bosbach states for bounded non-commutative \(\mathrm{R}\ell\)-monoids. Zbl 1141.06005
Dvurečenskij, Anatolij; Rachůnek, Jiří
21
2006
Probabilistic averaging in bounded \(R\ell\)-monoids. Zbl 1105.06010
Dvurečenskij, Anatolij; Rachůnek, Jiří
19
2006
Loomis-Sikorski representation of monotone \(\sigma\)-complete effect algebras. Zbl 1097.06010
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij
17
2006
Bounded commutative residuated \(\ell\)-monoids with general comparability and states. Zbl 1096.06008
Dvurečenskij, A.; Rachůnek, J.
17
2006
Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated \(\ell \)-monoids. Zbl 1150.03347
Dvurečenskij, Anatolij; Hyčko, Marek
6
2006
Sequential convergence of regular measures on prehilbert space logics. Zbl 1099.28011
Chetcuti, E.; de Lucia, P.; Dvurečenskij, A.
2
2006
Holland’s theorem for pseudo-effect algebras. Zbl 1164.06329
Dvurečenskij, Anatolij
1
2006
Entropy on effect algebras with Riesz decomposition property. II: MV-algebras. Zbl 1249.03116
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
8
2005
Conditional probability on \(\sigma\)-MV-algebras. Zbl 1080.06012
Dvurečenskij, A.; Pulmannová, S.
7
2005
The state-space of the lattice of orthogonally closed subspaces. Zbl 1066.46018
Chetcuti, E.; Dvurečenskij, A.
4
2005
Entropy on effect algebras with the Riesz decomposition property. I: Basic properties. Zbl 1249.03115
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
4
2005
...and 133 more Documents
all top 5

Cited by 452 Authors

154 Dvurečenskij, Anatolij
67 Pulmannová, Sylvia
29 Chajda, Ivan
25 Gudder, Stanley P.
24 Jakubík, Ján
23 Rachůnek, Jiří
22 Kühr, Jan
21 Ciungu, Lavinia Corina
21 Foulis, David James
18 Di Nola, Antonio
18 Riečan, Beloslav
17 Paseka, Jan
17 Rump, Wolfgang
16 Pták, Pavel
15 Frič, Roman
15 Vinceková, Elena
15 Xie, Yongjian
14 Šalounová, Dana
14 Zahiri, Omid
13 Avallone, Anna
13 Länger, Helmut M.
13 Vitolo, Paolo
13 Xin, Xiaolong
12 Chetcuti, Emmanuel
12 Navara, Mirko
11 Botur, Michal
11 Freytes, Hector
11 Nánásiová, Olga
11 Riečanová, Zdenka
11 Svozil, Karl
10 Janda, Jiří
10 Jenča, Gejza
10 Khare, Mona
10 Leuştean, Ioana
10 Markechová, Dagmar
10 Weber, Hans Josef Karl
9 Buhagiar, David
9 Jacobs, Bart
9 Jenčová, Anna
9 Lahti, Pekka Johannes
9 Tkadlec, Josef
9 Tsinakis, Constantine
8 Chovanec, Ferdinand
8 Holik, Federico Hernán
8 Holland, Wilbur Charles jun.
8 Lapenta, Serafina
8 Ledda, Antonio
8 Li, Yongming
8 Shang, Yun
8 Vetterlein, Thomas
8 Yang, Aili
7 Barbieri, Giuseppina Gerarda
7 Borumand Saeid, Arsham
7 Borzooei, Rajab Ali
7 De Lucia, Paolo
7 Greechie, Richard J.
7 Hyčko, Marek
7 Kowalski, Tomasz
7 Kumar Singh, Akhilesh
7 Paoli, Francesco
7 Papčo, Martin
6 Halaš, Radomír
6 He, Pengfei
6 Ji, Wei
6 Kôpka, František
6 Lachman, Dominik
6 Lu, Ruqian
6 Matoušek, Milan
6 Ylinen, Kari
5 Domenech, Graciela
5 Dudek, Wiesław Aleksander
5 Jun, Young Bae
5 Kolařík, Miroslav
5 Liu, Lianzhen
5 Lu, Xian
5 Mesiar, Radko
5 Montagna, Franco
5 Pykacz, Jarosław
5 Turilova, Ekaterina A.
5 Wang, Juntao
5 Zhao, Bin
4 de Ronde, Christian
4 De Simone, Anna
4 Forouzesh, Fereshteh
4 Giuntini, Roberto
4 Habil, Eissa D.
4 Hamhalter, Jan
4 Jurečková, Mária
4 Kalina, Martin
4 Kim, Hee Sik
4 Kiukas, Jukka
4 Krňávek, Jan
4 Lettieri, Ada
4 Ma, Zhenming
4 Ma, Zhihao
4 Moretti, Valter
4 Pandey, Pratibha
4 Sergioli, Giuseppe
4 Sharafi, Amir Hossein
4 Subrahmanyam, N. V.
...and 352 more Authors
all top 5

Cited in 111 Serials

143 International Journal of Theoretical Physics
127 Soft Computing
101 Mathematica Slovaca
90 Fuzzy Sets and Systems
34 Reports on Mathematical Physics
24 Kybernetika
23 Algebra Universalis
23 Czechoslovak Mathematical Journal
20 Foundations of Physics
19 Journal of Mathematical Physics
19 Order
18 Information Sciences
14 Journal of Mathematical Analysis and Applications
12 Studia Logica
11 Journal of Algebra
10 Annals of Pure and Applied Logic
9 Archive for Mathematical Logic
9 Journal of the Australian Mathematical Society
8 Journal of Pure and Applied Algebra
8 Theoretical Computer Science
8 Journal of Intelligent and Fuzzy Systems
7 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
6 Aplikace Matematiky
6 Journal of Multiple-Valued Logic and Soft Computing
5 Letters in Mathematical Physics
5 International Journal of Approximate Reasoning
5 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Communications in Algebra
4 International Journal of General Systems
4 Proceedings of the American Mathematical Society
4 Ricerche di Matematica
4 Iranian Journal of Fuzzy Systems
3 Applications of Mathematics
3 Filomat
3 Advances in Difference Equations
3 Open Mathematics
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Discrete Mathematics
2 Reviews in Mathematical Physics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Semigroup Forum
2 Advances in Applied Mathematics
2 Information and Computation
2 Tatra Mountains Mathematical Publications
2 Applied Categorical Structures
2 Positivity
2 Annales Henri Poincaré
2 Journal of Algebra and its Applications
2 Journal of Applied Logic
2 New Mathematics and Natural Computation
2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
2 Bollettino dell’Unione Matematica Italiana
1 Artificial Intelligence
1 Inverse Problems
1 Israel Journal of Mathematics
1 Lithuanian Mathematical Journal
1 Physics Letters. A
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Applied Mathematics and Computation
1 Demonstratio Mathematica
1 Geometriae Dedicata
1 Journal of Mathematical Psychology
1 Journal of Philosophical Logic
1 The Journal of Symbolic Logic
1 Kyungpook Mathematical Journal
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 Synthese
1 Transactions of the American Mathematical Society
1 Bulletin of the Section of Logic
1 Optimization
1 Applied Mathematics Letters
1 Forum Mathematicum
1 International Journal of Algebra and Computation
1 Annals of Physics
1 Expositiones Mathematicae
1 Cybernetics and Systems Analysis
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Applied Non-Classical Logics
1 Journal of Mathematical Sciences (New York)
1 Mathematical Logic Quarterly (MLQ)
1 The Bulletin of Symbolic Logic
1 Journal of Group Theory
1 Acta Mathematica Sinica. English Series
1 Foundations of Science
1 Lobachevskii Journal of Mathematics
1 International Journal of Modern Physics C
1 Journal of Modern Optics
1 Czechoslovak Journal of Physics
1 International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
1 Kragujevac Journal of Mathematics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Natural Computing
1 Central European Journal of Mathematics
1 Algebra and Discrete Mathematics
1 Hacettepe Journal of Mathematics and Statistics
1 Proceedings of the Steklov Institute of Mathematics
...and 11 more Serials
all top 5

Cited in 49 Fields

582 Order, lattices, ordered algebraic structures (06-XX)
497 Mathematical logic and foundations (03-XX)
373 Quantum theory (81-XX)
94 Measure and integration (28-XX)
91 Functional analysis (46-XX)
54 Probability theory and stochastic processes (60-XX)
41 General algebraic systems (08-XX)
27 Operator theory (47-XX)
24 Group theory and generalizations (20-XX)
19 General topology (54-XX)
19 Computer science (68-XX)
18 Category theory; homological algebra (18-XX)
14 Associative rings and algebras (16-XX)
11 Dynamical systems and ergodic theory (37-XX)
8 Information and communication theory, circuits (94-XX)
7 Nonassociative rings and algebras (17-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Statistics (62-XX)
4 Operations research, mathematical programming (90-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Topological groups, Lie groups (22-XX)
3 Ordinary differential equations (34-XX)
3 Convex and discrete geometry (52-XX)
2 Number theory (11-XX)
2 Commutative algebra (13-XX)
2 Special functions (33-XX)
2 Difference and functional equations (39-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Geometry (51-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Real functions (26-XX)
1 Partial differential equations (35-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Numerical analysis (65-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year