×

Dvurečenskij, Anatolij

Author ID: dvurecenskij.anatolij Recent zbMATH articles by "Dvurečenskij, Anatolij"
Published as: Dvurečenskij, Anatolij; Dvurečenskij, A.; Dvurecenskij, Anatolij; Dvurčenskij, Anatolij; Dvurechenskij, A.; Dvurecenskij, A.
Homepage: http://www.mat.savba.sk/~dvurecenskij/
External Links: MGP · Google Scholar · dblp · GND
Documents Indexed: 319 Publications since 1976, including 3 Books and 3 Additional arXiv Preprints
10 Contributions as Editor
Reviewing Activity: 302 Reviews
Biographic References: 1 Publication
Co-Authors: 66 Co-Authors with 194 Joint Publications
956 Co-Co-Authors
all top 5

Serials

50 International Journal of Theoretical Physics
33 Mathematica Slovaca
27 Soft Computing
22 Fuzzy Sets and Systems
12 Demonstratio Mathematica
12 Tatra Mountains Mathematical Publications
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
6 Journal of Applied Logics - IfCoLog Journal of Logics and their Applications
5 Journal of Mathematical Analysis and Applications
5 Aplikace Matematiky
5 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Communications in Algebra
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
2 Iranian Journal of Fuzzy Systems
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 Novi Sad Journal of Mathematics
1 Fundamenta Informaticae
1 Journal of Multiple-Valued Logic and Soft Computing
1 Journal of Applied Logic
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

241 Publications have been cited 2,480 times in 968 Documents Cited by Year
New trends in quantum structures. Zbl 0987.81005
Dvurečenskij, Anatolij; Pulmannová, Sylvia
387
2000
Pseudo MV-algebras are intervals in \(\ell\)-groups. Zbl 1027.06014
Dvurečenskij, Anatolij
143
2002
Pseudoeffect algebras. I: Basic properties. Zbl 0994.81008
Dvurečenskij, Anatolij; Vetterlein, Thomas
106
2001
Pseudoeffect algebras. II: Group representations. Zbl 0994.81009
Dvurečenskij, Anatolij; Vetterlein, Thomas
84
2001
States on pseudo MV-algebras. Zbl 0999.06011
Dvurečenskij, Anatolij
78
2001
Gleason’s theorem and its applications. Zbl 0795.46045
Dvurečenskij, Anatolij
58
1993
State-morphism MV-algebras. Zbl 1186.06007
Di Nola, Antonio; Dvurečenskij, Anatolij
44
2009
Tensor product of difference posets. Zbl 0859.03031
Dvurečenskij, Anatolij
34
1995
Loomis-Sikorski theorem for \(\sigma\)-complete MV-algebras and \(\ell\)-groups. Zbl 0958.06006
Dvurečenskij, Anatolij
34
2000
Product MV-algebras. Zbl 1016.06006
Di Nola, A.; Dvurecenskij, A.
34
2001
Difference posets, effects, and quantum measurements. Zbl 0806.03040
Dvurečenskij, Anatolij; Pulmannová, Sylvia
32
1994
State BL-algebras. Zbl 1251.03096
Ciungu, Lavinia Corina; Dvurečenskij, Anatolij; Hyčko, Marek
30
2011
Every linear pseudo BL-algebra admits a state. Zbl 1122.06012
Dvurečenskij, Anatolij
30
2007
Central elements and Cantor-Bernstein’s theorem for pseudo-effect algebras. Zbl 1033.03036
Dvurečenskij, Anatolij
29
2003
Algebras in the positive cone of po-groups. Zbl 1012.03064
Dvurečenskij, Anatolij; Vetterlein, Thomas
28
2002
Probabilistic averaging in bounded commutative residuated \(\ell\)-monoids. Zbl 1105.06011
Dvurečenskij, Anatolij; Rachůnek, Jiří
27
2006
Probabilistic averaging in bounded \(R\ell\)-monoids. Zbl 1105.06010
Dvurečenskij, Anatolij; Rachůnek, Jiří
25
2006
On varieties of MV-algebras with internal states. Zbl 1213.06006
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
25
2010
State BCK-algebras and state-morphism BCK-algebras. Zbl 1315.06021
Borzooei, R. A.; Dvurečenskij, A.; Zahiri, O.
24
2014
Aglianò-Montagna type decomposition of linear pseudo hoops and its applications. Zbl 1123.06007
Dvurečenskij, Anatolij
24
2007
On Riečan and Bosbach states for bounded non-commutative \(\mathrm{R}\ell\)-monoids. Zbl 1141.06005
Dvurečenskij, Anatolij; Rachůnek, Jiří
23
2006
Observables on quantum structures. Zbl 1329.81140
Dvurečenskij, Anatolij; Kuková, Mária
22
2014
State operators on generalizations of fuzzy structures. Zbl 1266.03071
Dvurečenskij, Anatolij; Rachůnek, Jiří; Šalounová, Dana
21
2012
Perfect effect algebras are categorically equivalent with abelian interpolation po-groups. Zbl 1117.06009
Dvurečenskij, Anatolij
20
2007
On pseudo MV-algebras. Zbl 0998.06010
Dvurečenskij, A.
19
2001
Generalized pseudo-effect algebras. Zbl 1012.03063
Dvurečenskij, Anatolij; Vetterlein, Thomas
19
2001
Perfect GMV-algebras. Zbl 1146.06007
Di Nola, A.; Dvurečenskij, A.; Tsinakis, C.
18
2008
Loomis-Sikorski representation of monotone \(\sigma\)-complete effect algebras. Zbl 1097.06010
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij
17
2006
Good and bad infinitesimals, and states on pseudo MV-algebras. Zbl 1081.06010
Di Nola, Antonio; Dvurečenskij, Anatolij; Jakubík, Ján
17
2004
State-morphism algebras – general approach. Zbl 1314.06013
Botur, Michal; Dvurečenskij, Anatolij
17
2013
Top varieties of generalized MV-algebras and unital lattice-ordered groups. Zbl 1131.06011
Dvurečenskij, Anatolij; Holland, W. Charles
17
2007
Bounded commutative residuated \(\ell\)-monoids with general comparability and states. Zbl 1096.06008
Dvurečenskij, A.; Rachůnek, J.
17
2006
On the structure of pseudo BL-algebras and pseudo hoops in quantum logics. Zbl 1227.81012
Dvurečenskij, A.; Giuntini, R.; Kowalski, T.
16
2010
Fuzzy quantum spaces and compatibility. Zbl 0657.60004
Dvurečenskij, Anatolij; Chovanec, Ferdinand
16
1988
D-test spaces and difference posets. Zbl 0820.03038
Dvurečenskij, Anatolij; Pulmannová, Sylvia
15
1994
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
Subdirectly irreducible state-morphism BL-algebras. Zbl 1215.06006
Dvurečenskij, Anatolij
14
2011
Fuzzy quantum models. Zbl 0746.60004
Dvurečenskij, Anatolij; Riečan, Beloslav
14
1991
Representable effect algebras and observables. Zbl 1308.81011
Dvurečenskij, Anatolij
14
2014
Non-commutative algebras and quantum structures. Zbl 1075.81010
Dvurečenskij, Anatolij; Vetterlein, Thomas
13
2004
Kites and pseudo BL-algebras. Zbl 1314.06015
Dvurečenskij, Anatolij; Kowalski, Tomasz
12
2014
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
Tensor products of \(D\)-posets and \(D\)-test spaces. Zbl 0830.03031
Dvurečenskij, Anatolij; Pulmannová, Sylvia
11
1994
Tensor product of difference posets and effect algebras. Zbl 0839.03045
Dvurečenskij, Anatolij
11
1995
Erratum to “State-morphism MV-algebras”. Zbl 1221.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
11
2010
State morphism MV-algebras. Zbl 1251.06001
Dvurečenskij, Anatolij; Kowalski, Tomasz; Montagna, Franco
11
2011
Partition logics, orthoalgebras and automata. Zbl 0836.03037
Dvurečenskij, Anatolij; Pulmannová, Sylvia; Svozil, Karl
10
1995
Every state on interval effect algebra is integral. Zbl 1312.81009
Dvurečenskij, Anatolij
10
2010
Olson order of quantum observables. Zbl 1358.81011
Dvurečenskij, Anatolij
10
2016
States on EMV-algebras. Zbl 1418.06008
Dvurečenskij, Anatolij; Zahiri, Omid
10
2019
Decompositions of measures on orthoalgebras and difference posets. Zbl 0815.03038
Dvurečenskij, Anatolij; Riečan, Beloslav
10
1994
State on splitting subspaces and completeness of inner product spaces. Zbl 0661.46019
Dvurečenskij, Anatolij; Pulmannová, Sylvia
10
1988
On pseudo-effect algebras which can be covered by pseudo MV-algebras. Zbl 1039.03049
Dvurečenskij, Anatolij; Vetterlein, Thomas
10
2003
On \(n\)-perfect GMV-algebras. Zbl 1152.06008
Dvurečenskij, Anatolij
10
2008
On representations of commutative BCK-algebras. Zbl 0942.06009
Dvurečenskij, Anatolij; Graziano, Maria Gabriella
9
1999
The lexicographic product of po-groups and \(n\)-perfect pseudo effect algebras. Zbl 1274.81009
Dvurečenskij, Anatolij; Krňávek, Jan
9
2013
Ideals of pseudo-effect algebras and their applications. Zbl 1068.03056
Dvurečenskij, Anatolij
9
2003
Discrete \((n+1)\)-valued states and \(n\)-perfect pseudo-effect algebras. Zbl 1328.06012
Dvurečenskij, Anatolij; Xie, Yongjian; Yang, Aili
9
2013
Connection between joint distribution and compatibility. Zbl 0552.03041
Dvurečenskij, Anatolij; Pulmannová, Sylvia
9
1984
Observables on perfect MV-algebras. Zbl 1423.06047
Di Nola, Antonio; Dvurečenskij, Anatolij; Lenzi, Giacomo
9
2019
On EMV-algebras. Zbl 1423.06048
Dvurečenskij, Anatolij; Zahiri, Omid
9
2019
A note on a sum of observables in F-quantum spaces and its properties. Zbl 0662.03057
Dvurečenskij, Anatolij; Tirpáková, Anna
9
1988
Effect algebras which can be covered by MV-algebras. Zbl 1022.06005
Dvurečenskij, Anatolij
9
2002
On partial addition in pseudo MV-algebras. Zbl 0984.06009
Dvurečenskij, Anatolij
9
1999
Entropy on effect algebras with the Riesz decomposition property. I: Basic properties. Zbl 1249.03115
Di Nola, Antonio; Dvurečenskij, Anatolij; Hyčko, Marek; Manara, Corrado
8
2005
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
Spectral resolutions and observables in \(n\)-perfect MV-algebras. Zbl 1436.06030
Dvurečenskij, Anatolij; Lachman, Dominik
8
2020
Material implications in lattice effect algebras. Zbl 1437.06009
Borzooei, R. A.; Dvurečenskij, A.; Sharafi, A. H.
8
2018
Kite pseudo effect algebras. Zbl 1297.81015
Dvurečenskij, Anatolij
8
2013
Quantum observables and effect algebras. Zbl 1394.81020
Dvurečenskij, Anatolij
8
2018
Gleason’s theorem and completeness of inner product spaces. Zbl 0663.46060
Dvurečenskij, Anatolij; Mišík, Ladislav jun.
8
1988
A signed measure completeness criterion. Zbl 0696.46024
Dvurečenskij, Anatolij; Pulmannová, Sylvia
7
1989
States on quantum structures versus integrals. Zbl 1250.81013
Dvurečenskij, Anatolij
7
2011
Erratum to: “State operators on generalizations of fuzzy structures”. Zbl 1251.03097
Dvurečenskij, A.; Rachůnek, J.; Šalounová, D.
7
2012
Conditional probability on \(\sigma\)-MV-algebras. Zbl 1080.06012
Dvurečenskij, A.; Pulmannová, S.
7
2005
Sum of observables on MV-effect algebras. Zbl 1398.06012
Dvurečenskij, Anatolij
7
2018
Remarks on representations of minimal clans. Zbl 0939.06017
Dvurečenskij, Anatolij; Graziano, Maria Gabriela
7
1998
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
Weakly divisible MV-algebras and product. Zbl 0942.06003
Dvurečenskij, Anatolij; Riečan, Beloslav
7
1999
On normal-valued basic pseudo-hoops. Zbl 1270.03136
Botur, Michal; Dvurečenskij, Anatolij; Kowalski, Tomasz
7
2012
Sum of observables in fuzzy quantum spaces. Zbl 0753.60005
Dvurečenskij, Anatolij; Tirpáková, Anna
6
1992
States on families of subspaces of pre-Hilbert spaces. Zbl 0696.46023
Dvurečenskij, Anatolij
6
1989
Measures on quantum structures. Zbl 1031.28003
Dvurečenskij, Anatolij
6
2002
Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated \(\ell \)-monoids. Zbl 1150.03347
Dvurečenskij, Anatolij; Hyčko, Marek
6
2006
On orders of observables on effect algebras. Zbl 1387.81015
Dvurečenskij, Anatolij
6
2017
On convergences of signed states. Zbl 0421.28003
Dvurecenskij, Anatolij
6
1978
Lexicographic product vs \(\mathbb Q\)-perfect and \(\mathbb H\)-perfect pseudo effect algebras. Zbl 1332.03014
Dvurečenskij, Anatolij; Kolařík, Miroslav
6
2014
Signed states on a logic. Zbl 0372.02017
Dvurecenskij, Anatolij
6
1978
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
On the structure of linearly ordered pseudo-BCK-algebras. Zbl 1182.06009
Dvurečenskij, Anatolij; Kühr, Jan
6
2009
On joint observable for F-quantum spaces. Zbl 0662.03056
Dvurečenskij, Anatolij; Riečan, Beloslav
6
1988
Fuzzy set representations of some quantum structures. Zbl 0930.03098
Dvurečenskij, Anatolij
6
1999
MV-observables and MV-algebras. Zbl 0992.03081
Dvurečenskij, Anatolij
6
2001
On the existence of probability measures on fuzzy measurable spaces. Zbl 0742.28009
Dvurečenskij, Anatolij
6
1991
Morphisms on EMV-algebras and their applications. Zbl 1401.06010
Dvurečenskij, Anatolij; Zahiri, Omid
6
2018
Pseudo equality algebras: revision. Zbl 1373.06024
Dvurečenskij, Anatolij; Zahiri, Omid
6
2016
Uncertainty principle and joint distributions of observables. Zbl 0581.60003
Pulmannová, Sylvia; Dvurečenskij, Anatolij
5
1985
Gleason theorem for signed measures with infinite values. Zbl 0584.46053
Dvurečenskij, Anatolij
5
1985
A variety containing EMV-algebras and Pierce sheaves of EMV-algebras. Zbl 1467.06008
Dvurečenskij, Anatolij; Zahiri, Omid
2
2021
An approach to stochastic processes via non-classical logic. Zbl 1491.06023
Di Nola, Antonio; Dvurečenskij, Anatolij; Lapenta, Serafina
2
2021
Sum of \(n\)-dimensional observables on MV-effect algebras. Zbl 1498.06029
Dvurečenskij, Anatolij
2
2021
Locally \(\sigma \)-complete and locally complete EMV-algebras. Zbl 1491.06025
Dvurečenskij, Anatolij; Zahiri, Omid
1
2021
Spectral resolutions and observables in \(n\)-perfect MV-algebras. Zbl 1436.06030
Dvurečenskij, Anatolij; Lachman, Dominik
8
2020
Lifting, \(n\)-dimensional spectral resolutions, and \(n\)-dimensional observables. Zbl 1471.06006
Dvurečenskij, Anatolij; Lachman, Dominik
4
2020
Two-dimensional observables and spectral resolutions. Zbl 1441.81004
Dvurečenskij, Anatolij; Lachman, Dominik
3
2020
States on wEMV-algebras. Zbl 1472.06015
Dvurečenskij, Anatolij
2
2020
Spectral resolutions and quantum observables. Zbl 1447.81123
Dvurečenskij, Anatolij; Lachman, Dominik
1
2020
States on EMV-algebras. Zbl 1418.06008
Dvurečenskij, Anatolij; Zahiri, Omid
10
2019
Observables on perfect MV-algebras. Zbl 1423.06047
Di Nola, Antonio; Dvurečenskij, Anatolij; Lenzi, Giacomo
9
2019
On EMV-algebras. Zbl 1423.06048
Dvurečenskij, Anatolij; Zahiri, Omid
9
2019
The Loomis-Sikorski theorem for EMV-algebras. Zbl 1439.06007
Dvurečenskij, Anatolij; Zahiri, Omid
5
2019
Observables on lexicographic effect algebras. Zbl 1445.03074
Dvurečenskij, Anatolij; Lachman, Dominik
4
2019
Perfect effect algebras and spectral resolutions of observables. Zbl 1431.81020
Dvurečenskij, Anatolij
3
2019
Pseudo EMV-algebras. I: Basic properties. Zbl 1513.06028
Dvurečenskij, Anatolij; Zahiri, Omid
2
2019
Generalized pseudo-EMV-effect algebras. Zbl 1430.06007
Dvurečenskij, Anatolij; Zahiri, Omid
1
2019
Material implications in lattice effect algebras. Zbl 1437.06009
Borzooei, R. A.; Dvurečenskij, A.; Sharafi, A. H.
8
2018
Quantum observables and effect algebras. Zbl 1394.81020
Dvurečenskij, Anatolij
8
2018
Sum of observables on MV-effect algebras. Zbl 1398.06012
Dvurečenskij, Anatolij
7
2018
Morphisms on EMV-algebras and their applications. Zbl 1401.06010
Dvurečenskij, Anatolij; Zahiri, Omid
6
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
6
2017
Hyper effect algebras. Zbl 1387.03072
Dvurečenskij, Anatolij; Hyčko, Marek
5
2017
Olson order of quantum observables. Zbl 1358.81011
Dvurečenskij, Anatolij
10
2016
Pseudo equality algebras: revision. Zbl 1373.06024
Dvurečenskij, Anatolij; Zahiri, Omid
6
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
3
2016
Riesz decomposition properties and the lexicographic product of po-groups. Zbl 1373.06021
Dvurečenskij, Anatolij
2
2016
Pseudo MV-algebras and lexicographic product. Zbl 1386.06014
Dvurečenskij, Anatolij
1
2016
Tibor Neubrunn (1929–1990). Zbl 1463.01001
Dvurečenskij, Anatolij; Holá, Ľubica; Janková, Katarína; Riečan, Beloslav
1
2016
Prof. RNDr. Ján Jakubík, DrSc. passed away. Zbl 1389.01012
Dvurečenskij, Anatolij
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
3
2015
On a new construction of pseudo BL-algebras. Zbl 1374.06021
Dvurečenskij, Anatolij
2
2015
On a new construction of pseudo effect algebras. Zbl 1350.06009
Dvurečenskij, Anatolij
1
2015
How do \(\ell\)-groups and po-groups appear in algebraic and quantum structures? Zbl 1327.06014
Dvurečenskij, Anatolij
1
2015
Quantum structures versus partially ordered groups. Zbl 1329.81093
Dvurečenskij, Anatolij
1
2015
States on quantum and algebraic structures and their integral representation. Zbl 1335.81087
Dvurečenskij, Anatolij
1
2015
State BCK-algebras and state-morphism BCK-algebras. Zbl 1315.06021
Borzooei, R. A.; Dvurečenskij, A.; Zahiri, O.
24
2014
Observables on quantum structures. Zbl 1329.81140
Dvurečenskij, Anatolij; Kuková, Mária
22
2014
Representable effect algebras and observables. Zbl 1308.81011
Dvurečenskij, Anatolij
14
2014
Kites and pseudo BL-algebras. Zbl 1314.06015
Dvurečenskij, Anatolij; Kowalski, Tomasz
12
2014
Lexicographic product vs \(\mathbb Q\)-perfect and \(\mathbb H\)-perfect pseudo effect algebras. Zbl 1332.03014
Dvurečenskij, Anatolij; Kolařík, Miroslav
6
2014
Some remarks on kite pseudo effect algebras. Zbl 1310.81017
Dvurečenskij, Anatolij; Holland, W. Charles
5
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
17
2013
The lexicographic product of po-groups and \(n\)-perfect pseudo effect algebras. Zbl 1274.81009
Dvurečenskij, Anatolij; Krňávek, Jan
9
2013
Discrete \((n+1)\)-valued states and \(n\)-perfect pseudo-effect algebras. Zbl 1328.06012
Dvurečenskij, Anatolij; Xie, Yongjian; Yang, Aili
9
2013
Kite pseudo effect algebras. Zbl 1297.81015
Dvurečenskij, Anatolij
8
2013
Smearing of observables and spectral measures on quantum structures. Zbl 1270.81012
Dvurečenskij, Anatolij
4
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
21
2012
Erratum to: “State operators on generalizations of fuzzy structures”. Zbl 1251.03097
Dvurečenskij, A.; Rachůnek, J.; Šalounová, D.
7
2012
On normal-valued basic pseudo-hoops. Zbl 1270.03136
Botur, Michal; Dvurečenskij, Anatolij; Kowalski, Tomasz
7
2012
Atomic effect algebras with the Riesz decomposition property. Zbl 1447.81014
Dvurečenskij, Anatolij; Xie, Yongjian
2
2012
Stone duality type theorems for MV-algebras with internal state. Zbl 1259.06015
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
2
2012
State BL-algebras. Zbl 1251.03096
Ciungu, Lavinia Corina; Dvurečenskij, Anatolij; Hyčko, Marek
30
2011
Subdirectly irreducible state-morphism BL-algebras. Zbl 1215.06006
Dvurečenskij, Anatolij
14
2011
State morphism MV-algebras. Zbl 1251.06001
Dvurečenskij, Anatolij; Kowalski, Tomasz; Montagna, Franco
11
2011
States on quantum structures versus integrals. Zbl 1250.81013
Dvurečenskij, Anatolij
7
2011
On states on MV-algebras and their applications. Zbl 1237.06004
Dvurečenskij, Anatolij
5
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 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
States on pseudo effect algebras and integrals. Zbl 1226.81017
Dvurečenskij, Anatolij
2
2011
Quasi-splitting subspaces and Foulis-Randall subspaces. Zbl 1273.81017
Buhagiar, D.; Chetcuti, E.; Dvurečenskij, A.
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.
25
2010
On the structure of pseudo BL-algebras and pseudo hoops in quantum logics. Zbl 1227.81012
Dvurečenskij, A.; Giuntini, R.; Kowalski, T.
16
2010
Measures, states and de Finetti maps on pseudo-BCK algebras. Zbl 1226.06015
Ciungu, Lavinia Corina; Dvurečenskij, Anatolij
12
2010
Erratum to “State-morphism MV-algebras”. Zbl 1221.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
11
2010
Every state on interval effect algebra is integral. Zbl 1312.81009
Dvurečenskij, Anatolij
10
2010
Cyclic elements and subalgebras of GMV-algebras. Zbl 1202.06008
Dvurečenskij, Anatolij
4
2010
On the Loomis-Sikorski theorem for MV-algebras with internal state. Zbl 1235.06013
Di Nola, A.; Dvurečenskij, A.; Lettieri, A.
3
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
Multipotent GBL-algebras. Zbl 1206.06009
Dvurečenskij, Anatolij; Kowalski, Tomasz
1
2010
State-morphism MV-algebras. Zbl 1186.06007
Di Nola, Antonio; Dvurečenskij, Anatolij
44
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
5
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.
18
2008
On \(n\)-perfect GMV-algebras. Zbl 1152.06008
Dvurečenskij, Anatolij
10
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
30
2007
Aglianò-Montagna type decomposition of linear pseudo hoops and its applications. Zbl 1123.06007
Dvurečenskij, Anatolij
24
2007
Perfect effect algebras are categorically equivalent with abelian interpolation po-groups. Zbl 1117.06009
Dvurečenskij, Anatolij
20
2007
Top varieties of generalized MV-algebras and unital lattice-ordered groups. Zbl 1131.06011
Dvurečenskij, Anatolij; Holland, W. Charles
17
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
Probabilistic averaging in bounded \(R\ell\)-monoids. Zbl 1105.06010
Dvurečenskij, Anatolij; Rachůnek, Jiří
25
2006
On Riečan and Bosbach states for bounded non-commutative \(\mathrm{R}\ell\)-monoids. Zbl 1141.06005
Dvurečenskij, Anatolij; Rachůnek, Jiří
23
2006
Loomis-Sikorski representation of monotone \(\sigma\)-complete effect algebras. Zbl 1097.06010
Buhagiar, David; Chetcuti, Emmanuel; Dvurečenskij, Anatolij
17
2006
...and 141 more Documents
all top 5

Cited by 494 Authors

163 Dvurečenskij, Anatolij
70 Pulmannová, Sylvia
34 Chajda, Ivan
27 Gudder, Stanley P.
24 Jakubík, Ján
23 Foulis, David James
23 Kühr, Jan
23 Rachůnek, Jiří
22 Ciungu, Lavinia Corina
20 Paseka, Jan
20 Rump, Wolfgang
18 Di Nola, Antonio
18 Pták, Pavel
18 Riečan, Beloslav
16 Borzooei, Rajab Ali
16 Frič, Roman
15 Vinceková, Elena
15 Xin, Xiaolong
15 Zahiri, Omid
14 Avallone, Anna
14 Länger, Helmut M.
14 Šalounová, Dana
14 Vitolo, Paolo
14 Xie, Yongjian
12 Botur, Michal
12 Chetcuti, Emmanuel
12 Freytes, Hector
12 Khare, Mona
12 Navara, Mirko
12 Riečanová, Zdenka
11 Janda, Jiří
11 Nánásiová, Olga
11 Svozil, Karl
10 Jenča, Gejza
10 Jenčová, Anna
10 Leuştean, Ioana
10 Markechová, Dagmar
10 Tkadlec, Josef
10 Weber, Hans Josef Karl
9 Buhagiar, David
9 Jacobs, Bart
9 Lahti, Pekka Johannes
9 Lapenta, Serafina
9 Tsinakis, Constantine
8 Borumand Saeid, Arsham
8 Chovanec, Ferdinand
8 Greechie, Richard J.
8 Holik, Federico Hernán
8 Holland, Wilbur Charles jun.
8 Kowalski, Tomasz
8 Kumar Singh, Akhilesh
8 Lachman, Dominik
8 Ledda, Antonio
8 Shang, Yun
8 Vetterlein, Thomas
8 Yang, Aili
7 Barbieri, Giuseppina Gerarda
7 de Lucia, Paolo
7 Halaš, Radomír
7 He, Pengfei
7 Hyčko, Marek
7 Jun, Young Bae
7 Matoušek, Milan
7 Paoli, Francesco
7 Papčo, Martin
6 Ji, Wei
6 Kôpka, František
6 Li, Yongming
6 Lu, Ruqian
6 Wang, Juntao
6 Ylinen, Kari
5 Domenech, Graciela
5 Dudek, Wiesław Aleksander
5 Kolařík, Miroslav
5 Liu, Lianzhen
5 Lu, Xian
5 Mesiar, Radko
5 Montagna, Franco
5 Pandey, Pratibha
5 Pykacz, Jarosław
5 Turilova, Ekaterina A.
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 Harding, John
4 Jurečková, Mária
4 Kalina, Martin
4 Kim, Hee Sik
4 Kiukas, Jukka
4 Kologani, Mona Aaly
4 Krňávek, Jan
4 Kroupa, Tomáš
4 Lettieri, Ada
4 Ma, Zhenming
4 Ma, Zhihao
4 Moretti, Valter
...and 394 more Authors
all top 5

Cited in 122 Serials

150 International Journal of Theoretical Physics
134 Soft Computing
105 Mathematica Slovaca
95 Fuzzy Sets and Systems
39 Reports on Mathematical Physics
25 Kybernetika
24 Algebra Universalis
23 Czechoslovak Mathematical Journal
21 Foundations of Physics
20 Order
19 Journal of Mathematical Physics
18 Information Sciences
16 Journal of Mathematical Analysis and Applications
13 Studia Logica
11 Journal of Algebra
11 Archive for Mathematical Logic
10 Annals of Pure and Applied Logic
9 Journal of the Australian Mathematical Society
9 Journal of Multiple-Valued Logic and Soft Computing
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
7 Iranian Journal of Fuzzy Systems
6 Aplikace Matematiky
5 Communications in Algebra
5 Letters in Mathematical Physics
5 International Journal of Approximate Reasoning
5 Annales de l’Institut Henri Poincaré. Physique Théorique
4 International Journal of General Systems
4 Proceedings of the American Mathematical Society
4 Ricerche di Matematica
4 Filomat
4 Central European Journal of Mathematics
3 Applications of Mathematics
3 Tatra Mountains Mathematical Publications
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 Demonstratio Mathematica
2 International Journal of Mathematics and Mathematical Sciences
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Semigroup Forum
2 Bulletin of the Section of Logic
2 Advances in Applied Mathematics
2 Information and Computation
2 Applied Categorical Structures
2 Positivity
2 Lobachevskii Journal of Mathematics
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 Algebraic Structures and their Applications
2 Bollettino dell’Unione Matematica Italiana
2 Journal of Algebraic Systems
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 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 Revista de la Unión Matemática Argentina
1 Synthese
1 Tôhoku Mathematical Journal. Second Series
1 Transactions of the American Mathematical Society
1 Optimization
1 Applied Mathematics Letters
1 Forum Mathematicum
1 International Journal of Algebra and Computation
1 MSCS. Mathematical Structures in Computer Science
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 Theory and Applications of Categories
1 Journal of Group Theory
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Acta Mathematica Sinica. English Series
1 Foundations of Science
1 International Journal of Modern Physics C
1 Journal of Modern Optics
...and 22 more Serials
all top 5

Cited in 48 Fields

636 Order, lattices, ordered algebraic structures (06-XX)
534 Mathematical logic and foundations (03-XX)
400 Quantum theory (81-XX)
104 Measure and integration (28-XX)
101 Functional analysis (46-XX)
54 Probability theory and stochastic processes (60-XX)
41 General algebraic systems (08-XX)
32 Operator theory (47-XX)
22 Group theory and generalizations (20-XX)
21 Category theory; homological algebra (18-XX)
21 General topology (54-XX)
19 Computer science (68-XX)
15 Associative rings and algebras (16-XX)
14 Dynamical systems and ergodic theory (37-XX)
10 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)
5 Statistics (62-XX)
4 Combinatorics (05-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Operations research, mathematical programming (90-XX)
3 Topological groups, Lie groups (22-XX)
3 Ordinary differential equations (34-XX)
3 Partial differential equations (35-XX)
3 Difference and functional equations (39-XX)
3 Geometry (51-XX)
3 Convex and discrete geometry (52-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 General and overarching topics; collections (00-XX)
2 Number theory (11-XX)
2 Commutative algebra (13-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
2 Biology and other natural sciences (92-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-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)

Citations by Year