Contracte, Publicaţii, Congrese

Contracte

Contracte de cercetare cu CNCSIS

Contract nr. 7006/tema 200/1997: Studiul structurilor metrice in algebra universala si teoria laticilor - membru in echipa de cercetare

Contract nr. 23/tema 16/1998: Studiul structurilor metrice in algebra universala si teoria laticilor - membru in echipa de cercetare

Contract nr. 138/2001: Conexiuni intre diferite categorii de algebre implicative - membru in echipa de cercetare

Cărţi publicate în edituri

Elemente de aritmetica si teoria numerelor (in colaborare cu D.Busneag,Fl. Boboc), Ed.Radical, Craiova, 254 pag., ISBN: 973-9253-52-0, 1998 (Zbl. 0926.11001).

Aritmetica si teoria numerelor, (in colaborare cu D.Busneag, Fl. Boboc), Ed.Universitaria, Craiova, 288 pag., ISBN: 973-9271-73-1, 1999 (Zbl. 1053.11001).

Algebra (in colaborare cu D.Busneag, Fl. Chirtes),doua editii, Ed. Universitaria, Craiova, 325 pag., ISBN: 973-8043-24-7, 1999, 2001, (Zbl. 0971.0001).

Algebra liniara (in colaborare cu D.Busneag), Ed. Universitaria, Craiova, 158 pag., ISBN: 973-8043-62-2, 2001 (Zbl. 0986.15002).

Lectii de algebra (in colaborare cu D.Busneag), Ed. Universitaria, Craiova, 527 pag., ISBN: 973-8043-109-8, 2002 (Zbl. 1026.00001).

Probleme de algebra (in colaborare cu D.Busneag, Fl. Chirtes), Ed. Universitaria, Craiova, 311 pag., ISBN: 973-8043-189-9, 2002 (Zbl. 1026.00002).

Probleme de algebra liniara (in colaborare cu D.Busneag, Fl. Chirtes), Ed. Universitaria, Craiova, 143 pag., ISBN: 973-8043-193-X, 2002 (Zbl. 1026.0003).

Probleme de logica si teoria multimilor (in colaborare cu D. Busneag, Fl. Chirtes),Ed. Universitaria, Craiova, 195 pagini, ISBN: 973-8043-347-7, 2003.

Algebras of fuzzy logic, Ed. Universitaria, Craiova, 316 pag., ISBN 978-973-742-750-2, 2007

Complemente de algebra(in colaborare cu D.Busneag, Fl.Chirtes), Ed. Gil,Zalau,2006 (224 pagini, ISBN : 974-9417-65-5).

Complemente de aritmetica si teoria elementara a numerelor (in colaborare cu D.Busneag, Fl.Chirtes), Ed. Gil,Zalau,2007(204 pagini, ISBN : 973-9417-84-6).

D. Piciu, Changes and Innovations in Social Systems, Springer, 2024 (chapter : Boolean Algebras, a bridge between Mathematics and the world), ISBN: 9783031435058.

D. Piciu, C. Flaut, M. Tosun, Advances in Classical and Applied Mathematics, Axioms, ISBN: 978-3-7258-3580-5.

Studii şi articole ştiinţifice

Publicate în reviste cotate ISI;

D. Buşneag, D. Piciu, Localization of MV-algebras and lu-groups, Algebra Universalis, 50 (3-4) (2003), 359-380.

D. Piciu, D. Buşneag, BL-algebra of fractions relative to an ᴧ -closed system, Analele Stiintifice ale Universităţii Ovidius Constanţa, Seria Matematică, 11 (1) (2003), 31-40.

D. Buşneag, D. Piciu, On the lattice of deductive systems of a BL-algebra, Central European Journal of Mathematics (Open Mathematics), 1 (2) (2003), 221-237.

D. Piciu, D. Buşneag, F-multipliers and the localization of MV-algebras, Analele Stiinţice ale Universităţii Ovidius, Constanţa, Seria Matematica, 11 (2) (2003), 25-42.

D. Buşneag, D. Piciu, MV-algebra of fractions and maximal MV-algebra of quotients, Journal of Multiple Valued Logic and Soft Computing, 10 (4) (2004), 363-383.

D. Piciu, Pseudo MV-algebra of fractions and maximal pseudo MV-algebra of quotients, Central European Journal of Mathematics (Open Mathematics), 2(2) (2004), 199-217.

D. Buşneag, D. Piciu, Pseudo BL-algebra of fractions relative to an ᴧ -closed system, Analele Stiinţifice ale Universităţii Al. I. Cuza Iaşi, Matematică, Tomul L, s.Ia, 50 (2) (2004), 459-472.

D. Piciu, D. Buşneag, Boolean MV-algebra of fractions, Mathematical Reports, vol. 7 (57), nr. 4 (2005), 265-280.

D. Buşneag, D. Piciu, BL algebra of fractions and maximal BL-algebra of quotients, Soft Computing, 9 (7) (2005), 544-555.

D. Buşneag, D. Piciu, On the lattice of filters of a pseudo BL-algebra, Journal of Multiple Valued Logic and Soft Computing, 12(3-4) (2006), 217-248.

D. Buşneag, D. Piciu, Residuated lattice of fractions relative to a ᴧ -closed system, Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 49 (97) No.1 (2006), 13-24.

D. Piciu, D. Buşneag, A. Jeflea, Archimedean residuated lattices, Analele Stiintifice ale Universitatii Al. I. Cuza, Iasi, Matematica, Tomul LVI, f.2 (2010), 227-253.

D. Piciu, C. Buşneag, The localization of commutative (unbounded) Hilbert algebras, Mathematical Reports, 12 (62) No.3 (2010), 285-300.

C. Buşneag, D. Piciu, The stable topology for residuated lattices, Soft Computing 16(10) (2012), 1639-1655.

D. Buşneag, D. Piciu, Bounded BCK algebras of fractions and maximal BCK algebras of quotients, Soft Computing, 16(10) (2012), 1697-1705.

D. Buşneag, D. Piciu, J. Paralescu, Divisible and semi-divisible residuated lattices, Analele Stiintifice ale Universitatii Al. I. Cuza, Iasi, Matematica, vol. XVI, f.2 (2015), 287-318.

D. Piciu, D. Buşneag, Some types of filters in residuated lattices, Soft Computing, 18(5) (2014), 825-837.

D. Buşneag, D. Piciu, The Belluce-lattice associated with a bounded Hilbert algebra, Soft Computing, 19(11) (2015), 3031-3042.

D. Buşneag, D. Piciu, A new approach for classification of filters in residuated lattices, Fuzzy Sets and Systems, 260 (2015), 121-130.

D. Piciu, L. Holdon, D. Buşneag, Some properties of ideals in Stonean residuated lattices, Journal of Multiple Valued Logic and Soft Computing, 24(5-6) (2015) 529-546.

D. Buşneag, D. Piciu, Semi-G-filters, Stonean filters, MTL filters, divisible filters, BL-filters and regular filters in residuated lattices, Iranian Journal of Fuzzy Systems, IJFS, 13(1) (2016), 145-160.

D. Buşneag, D. Piciu, L. Holdon, L. Dobre, Noetherian and artinian algebras in the general case of residuated lattices, Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, Tome 62 (110), no. 3 (2019), 229-238.

D. Piciu, C. Dan, F. Chirtes, Some decompositions of filters in residuated lattices, Analele Stiintifice ale Universitatii Ovidius Constanţa, Matematica, vol. XXVII, fasc. 1 (2019), 211-232.

D. Piciu, Prime, minimal prime and maximal ideals spaces in residuated lattices, Fuzzy Sets and Systems, online 2020/4/20 (2020), tiparit 405 (2021), 47-64.

D. Buşneag, D. Piciu, A. Dina, Ideals in residuated lattices, Carpathian Journal of Mathematics, 37 (1) (2021), 53-63.

D. Piciu, C. Dan, A. Dina, Godel filters in residuated lattices, Analele Stiintifice ale Universitatii Ovidius Constanţa, Matematica, XXIX (1) (2021).

D. Piciu, D. Savin, Residuated lattices with Noetherian Spectrum, Mathematics, 10(11), 1831-1831, (2022).

D. Piciu, C. Flaut, Some examples of BL-algebras using commutative rings, Mathematics, 10 (24), 4739-4739 (2022).

D. Piciu, C. Flaut, Connections between commutative rings and some algebras of logic, Iranian Journal of Fuzzy Systems, 19(6), (2022), 19 (6), 93-110.

D. Piciu, C. Flaut, M. Calin, Remarks regarding some Algebras of Logic, Journal of Intelligent & Fuzzy Systems, 45 (5) (2023), 8613-8622.

D. Piciu, C. Dan, F. Boboc, Remarks on some connections between ideals and filters in residuated lattices, Analele Stiintifice ale Universitatii Ovidius Constanţa, Matematica, vol. XXXII, fasc. 2 (2024).

D. Piciu, C. Flaut, B. Bercea, Some applications of fuzzy sets in residuated lattices, Axioms, 13(4) (2024) 267-267.

D. Piciu, C. Flaut, Commutative rings behind divisible residuated lattices, Mathematics, 12(23), 3867-3867 (2024).

D. Piciu, C. Flaut, R. Vasile, Some remarks regarding MTL and divisible residuated lattices, Mathematics, 13(22), 3697-3697 (2025).

D. Danciulescu, D. Piciu, C, Dinu, S. Stefaniga, F. Boboc, A glimpse of some common concepts in algebras of logic and uncertain environments, Carpathian Journal of Mathematics, 41 (4) (2025), 1061-1077. (2024).

Publicate în reviste cotate indexate în baze de date internaţionale;

D. Buşneag, D. Piciu, On the lattice of ideals of an MV-algebra, Scientiae Mathematicae Japonicae, 6(2) (2002), 221-226.

D. Piciu, D. Buşneag, Localization of BL-algebras, Soochow Journal of Mathematics, 32(1) (2006), 127-159.

D. Buşneag, D. Piciu, Pseudo BL-algebra of fractions and maximal pseudo BL-algebra of quotients, Southeast Assian Bullletin of Mathematics (Springer-Verlag Hong Kong Ltd), 3 (4) (2007), 639-665.

D. Buşneag, D. Piciu, Localization of pseudo MV-algebras and l-groups with strong unit, International Review of Fuzzy Mathematics, IRFM, 21(1) (2007), 63-95.

D. Piciu, D. Tascau, The localization of commutative bounded BCK-algebras, Advances in Pure Mathematics, 1(6) (2011), 367-377.

D. Piciu, J. Paralescu, A. Jeflea, MTL-algebra of fractions and maximal MTL algebra of quotients, Journal of Mathematics Research, 5 (2) (2013), 115-124.

D. Piciu, Pseudo MV-algebra of fractions relative to an inf-closed system, Analele Universităţii din Craiova, Seria Matematică-Informatică, 30 (2) (2003), 140-145.

D. Buşneag, D. Piciu, Meet-irreductible ideals in an MV-algebra, Analele Universităţii din Craiova, Seria Matematică – Informatică, vol. 28 (2001), 110-119.

D. Buşneag, D. Piciu, Injective objects in the BL algebras category (Part I), Analele Universităţii din Craiova, Seria Matematică – Informatică, vol. 29 (2002), 32-39.

D. Piciu, D. Buşneag, Localization of pseudo BL-algebras, Revue roumaine de mathématiques pures et appliquées, Tome L, 50(5-6) (2005), 495-513.

D. Buşneag, D. Piciu, MV-algebra of fractions relative to an ᴧ - closed system, Annals of the University of Craiova, Mathematics and Computer Science Series, 30 (2) (2003), 48-53.

D. Buşneag, D. Piciu, Boolean BL-algebra of fractions, Annals of the University of Craiova, Mathematics and Computer Science Series, 31 (2004), 1-19.

D. Piciu, A. Jeflea, R. Cretan, On the lattice of deductive systems of a residuated lattice, Annals of the University of Craiova, Mathematics and Computer Science Series, 35 (2008), 199-210.

D. Piciu, L. Dobre, Notes on regular filters in residuated lattices, Annals of the University of Craiova, Mathematics and Computer Science Series, 44 (2) (2017), 283-291.

D. Buşneag, D. Piciu, L. Nitu, Special elements in bounded integral residuated lattices, An. Stiint. Univ. Al. I. Cuza Iasi Math., Tomul LXIV f.1 (2018), 205-220.

D. Buşneag, D. Piciu, M. Istrata, The Belluce lattice associated with a bounded BCK algebra, Journal of Algebraic Hyperstructures and Logical Algebras, online, 29 December 2020, 2-16.

D. Piciu, M. Istrata, D. Buşneag, On extensions of pseudo-valuations on BCK algebras, Creative Mathematics and Informatics, 31(1) (2022), 43-49.

Lucrări publicate în volumele unor manifestări ştiinţifice internaţionale

Localization for some algebras of fuzzy logic (in colaborare cu D. Busneag si F. Chirtes), The Bulletin of Symbolic Logic, Volume 11, Number 2, June 2005, pp. 271 (ISSN 10798986) (2004 Summer meeting of the association for symbolic logic, Logic Colloquium’04, Torino, Italy, July 25-31, 2004).

The prime and maximal spectra of some algebras of fuzzy logic (in colaborare cu D. Busneag si F. Chirtes), The Bulletin of Symbolic Logic, Volume 12, Number 2, June 2006, pp. 326-327 (ISSN 10798986) (2005 Summer meeting of the association for symbolic logic, Logic Colloquium’05, Athens, Greece, July 28- August 3, 2005).

Localization of MTL algebras, Conference: Algebra and Probability in Many Valued Logics, Darmstadt , May, 2009.

Congrese sau reuniuni ştiinţifice la care am participat cu conferinţe sau comunicări

Comunicarea Localization for some algebras of fuzzy logic (cu D. Busneag si F. Chirtes), Logic Colloquium 2004, Torino, Italy, July 25-31, 2004.

Comunicarea The prime and maximal spectra of some algebras of fuzzy logic (cu D. Busneag si F. Chirtes ), Logic Colloquium 2005, Athens, Greece, July 28- August 3, 2005.

Comunicarea Algebre Hilbert valuate (cu D. Busneag si F. Chirtes), Simpozionul comemorativ Gr. C. Moisil, organizat de Grupul de Logica si Algebra Universala de la Facultatea de Matematica a Universitatii Bucuresti, 19 iunie 1998.

Comunicarea MV-algebra of fractions and maximal MV-algebra of quotients, Simpozionul comemorativ Gr. C. Moisil, organizat de Grupul de Logica si Algebra Universala de la Facultatea de Matematica a Universitatii Bucuresti, 16-17 mai 2003.

Comunicarea F-multipliers and localization MV-algebras (cu D. Busneag), Lucrarile Primei Conferinte de Cercetari Operationale si Aplicatii, Constanta, 3-6 septembrie 2003.

Comunicarea Localizari de BL-algebre, Simpozionul comemorativ Gr. C. Moisil, organizat de Grupul de Logica si Algebra Universala de la Facultatea de Matematica a Universitatii Bucuresti si Facultatea de Matematica si Informatica a Universitatii din Craiova, 21-22 mai 2004.

Comunicarea Proprietati specifice ale laticilor reziduate (cu D. Busneag), Sesiunea de comunicari dedicata centenarului Gr. C. Moisil, Institutul de Matematica Simion Stoilow al Academiei Române, Bucuresti, 26-27 ianuarie 2006.

D. Piciu, Localizations of algebras of fuzzy logics, Conference on Logic, Algebra and Fundamentals of Computer Science, Bucharest, May 16, 2008, Institute of Mathematics Simion Stoilow of the Romanian Academy, Bucharest, May 16, 2008.

D. Piciu, Localizations of MTL algebras, Conference: Algebra and Probability in Many Valued Logics, Darmstadt, May 7-9, 2009.

D. Piciu, On the lattice of congruences in some algebras of fuzzy logic, The 10th International Conference on Artificial Intelligence and Digital Communications, September, 2010.

D. Piciu, C. Dan, New types of filters in residuated lattices, Summer School on general Algebra and Orded Sets, Mathematical Institute of the Slovak Academy of Sciences, Slovacia, Septembrie 2014.

D. Piciu, C. Dan, F. Chirtes, Classes of filters in residuated lattices, CAIM 2016, Romai Conference, Craiova, 2016.

D. Piciu, D. Busneag,, L. Nitu, Normal residuated lattices, CAIM 2016, Romai Conference, Craiova, 2016.