Congruence lattice problem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Congruence lattice problem" in English language version.

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23doi.org

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6acta.hu

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6arxiv.org

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4semanticscholar.org

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1zbmath.org

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acta.hu

pub.acta.hu

Grätzer & Schmidt 1963. Grätzer, George; Schmidt, E. Tamás (1963). "Characterizations of congruence lattices of abstract algebras". Acta Scientiarum Mathematicarum (Szeged). 24: 34–59.
Schmidt 1981. Schmidt, E. Tamás (1981). "The ideal lattice of a distributive lattice with 0 is the congruence lattice of a lattice". Acta Scientiarum Mathematicarum (Szeged). 43 (1–2): 153–168.
Huhn 1989a. Huhn, András (1989a). "On the representation of algebraic distributive lattices II". Acta Scientiarum Mathematicarum (Szeged). 53 (1–2): 3–10.
Huhn 1989b. Huhn, András (1989b). "On the representation of algebraic distributive lattices III". Acta Scientiarum Mathematicarum (Szeged). 53 (1–2): 11–18.
Tůma 1998. Tůma, Jiří (1998). "On the existence of simultaneous representations". Acta Scientiarum Mathematicarum (Szeged). 64: 357–371.
Grätzer, Lakser & Wehrung 2000. Grätzer, George; Lakser, Harry; Wehrung, Friedrich (2000). "Congruence amalgamation of lattices". Acta Scientiarum Mathematicarum (Szeged). 66 (1–2): 3–22.

ams.org

Wehrung 1999. Wehrung, Friedrich (1999). "A uniform refinement property for congruence lattices" (PDF). Proceedings of the American Mathematical Society. 127 (2): 363–370. doi:10.1090/S0002-9939-99-04558-X. S2CID 85539753.

arxiv.org

Wehrung 2003. Wehrung, Friedrich (2003). "Forcing extensions of partial lattices". Journal of Algebra. 262 (1): 127–193. arXiv:math/0501378. doi:10.1016/S0021-8693(03)00015-2.
Tůma & Wehrung 2006. Tůma, Jiří; Wehrung, Friedrich (2006). "Congruence lifting of diagrams of finite Boolean semilattices requires large congruence varieties". International Journal of Algebra and Computation. 16 (3): 541–550. arXiv:math/0410576. doi:10.1142/S0218196706003049. S2CID 735797.
Goodearl & Wehrung 2001. Goodearl, Kenneth R.; Wehrung, Friedrich (2001). "Representations of distributive semilattices in ideal lattices of various algebraic structures". Algebra Universalis. 45 (1): 71–102. arXiv:math/0011083. doi:10.1007/s000120050203.
Wehrung 2000. Wehrung, Friedrich (2000). "Representation of algebraic distributive lattices with ℵ₁ compact elements as ideal lattices of regular rings". Publicacions Matemàtiques (Barcelona). 44 (2): 419–435. arXiv:math/0501367. doi:10.5565/PUBLMAT_44200_03.
Wehrung 1998b. Wehrung, Friedrich (1998b). "The dimension monoid of a lattice". Algebra Universalis. 40 (3): 247–411. arXiv:math/0501437. doi:10.1007/s000120050091.
Tůma & Wehrung 2001. Tůma, Jiří; Wehrung, Friedrich (2001). "Simultaneous representations of semilattices by lattices with permutable congruences". International Journal of Algebra and Computation. 11 (2): 217–246. arXiv:math/0501417. doi:10.1142/S0218196701000516. S2CID 15648638.

doi.org

Birkhoff & Frink 1948. Birkhoff, Garrett; Frink, Orrin (1948). "Representations of lattices by sets". Transactions of the American Mathematical Society. 64 (2): 299–316. doi:10.1090/S0002-9947-1948-0027263-2.
Grätzer & Schmidt 1962. Grätzer, George; Schmidt, E. Tamás (1962). "On congruence lattices of lattices". Acta Mathematica Academiae Scientiarum Hungaricae. 13 (1–2): 179–185. doi:10.1007/BF02033636.
Grätzer 2005. Grätzer, George (2005). The Congruences of a Finite Lattice: a Proof-by-Picture Approach. Birkhäuser Boston. doi:10.1007/978-3-319-38798-7. ISBN 978-0-8176-3224-3.
Freese, Lampe & Taylor 1979. Freese, Ralph; Lampe, William A.; Taylor, Walter (1979). "Congruence lattices of algebras of fixed similarity type. I". Pacific Journal of Mathematics. 82 (1): 59–68. doi:10.2140/pjm.1979.82.59.
Wehrung 2003. Wehrung, Friedrich (2003). "Forcing extensions of partial lattices". Journal of Algebra. 262 (1): 127–193. arXiv:math/0501378. doi:10.1016/S0021-8693(03)00015-2.
Dobbertin 1986. Dobbertin, Hans (1986). "Vaught measures and their applications in lattice theory". Journal of Pure and Applied Algebra. 43 (1): 27–51. doi:10.1016/0022-4049(86)90003-4.
Dobbertin 1983. Dobbertin, Hans (1983). "Refinement monoids, Vaught monoids, and Boolean algebras". Mathematische Annalen. 265 (4): 473–487. doi:10.1007/BF01455948.
Pudlák 1985. Pudlák, Pavel (1985). "On congruence lattices of lattices". Algebra Universalis. 20: 96–114. doi:10.1007/BF01236809.
Růžička 2004. Růžička, Pavel (2004). "Lattices of two-sided ideals of locally matricial algebras and the Γ-invariant problem". Israel Journal of Mathematics. 142: 1–28. doi:10.1007/BF02771525.
Růžička 2006. Růžička, Pavel (August 2006). "Liftings of distributive lattices by locally matricial algebras with respect to the Id_c functor". Algebra Universalis. 55 (2–3): 239–257. doi:10.1007/s00012-006-1962-4.
Tůma & Wehrung 2006. Tůma, Jiří; Wehrung, Friedrich (2006). "Congruence lifting of diagrams of finite Boolean semilattices requires large congruence varieties". International Journal of Algebra and Computation. 16 (3): 541–550. arXiv:math/0410576. doi:10.1142/S0218196706003049. S2CID 735797.
Bulman-Fleming & McDowell 1978. Bulman-Fleming, Sydney; McDowell, Kenneth (1978). "Flat semilattices". Proceedings of the American Mathematical Society. 72 (2): 228–232. doi:10.1090/S0002-9939-1978-0505915-X.
Goodearl & Wehrung 2001. Goodearl, Kenneth R.; Wehrung, Friedrich (2001). "Representations of distributive semilattices in ideal lattices of various algebraic structures". Algebra Universalis. 45 (1): 71–102. arXiv:math/0011083. doi:10.1007/s000120050203.
Wehrung 2000. Wehrung, Friedrich (2000). "Representation of algebraic distributive lattices with ℵ₁ compact elements as ideal lattices of regular rings". Publicacions Matemàtiques (Barcelona). 44 (2): 419–435. arXiv:math/0501367. doi:10.5565/PUBLMAT_44200_03.
Růžička, Tůma & Wehrung 2007. Růžička, Pavel; Tůma, Jiří; Wehrung, Friedrich (2007). "Distributive congruence lattices of congruence-permutable algebras". Journal of Algebra. 311 (1): 96–116. doi:10.1016/j.jalgebra.2006.11.005.
Wehrung 1999. Wehrung, Friedrich (1999). "A uniform refinement property for congruence lattices" (PDF). Proceedings of the American Mathematical Society. 127 (2): 363–370. doi:10.1090/S0002-9939-99-04558-X. S2CID 85539753.
Wehrung 2004. Wehrung, Friedrich (2004). "Semilattices of finitely generated ideals of exchange rings with finite stable rank". Transactions of the American Mathematical Society. 356 (5): 1957–1970. doi:10.1090/S0002-9947-03-03369-5.
Wehrung 1998b. Wehrung, Friedrich (1998b). "The dimension monoid of a lattice". Algebra Universalis. 40 (3): 247–411. arXiv:math/0501437. doi:10.1007/s000120050091.
Ploščica, Tůma & Wehrung 1998. Ploščica, Miroslav; Tůma, Jiří; Wehrung, Friedrich (1998). "Congruence lattices of free lattices in nondistributive varieties". Colloquium Mathematicum. 76 (2): 269–278. doi:10.4064/cm-76-2-269-278.
Tůma & Wehrung 2001. Tůma, Jiří; Wehrung, Friedrich (2001). "Simultaneous representations of semilattices by lattices with permutable congruences". International Journal of Algebra and Computation. 11 (2): 217–246. arXiv:math/0501417. doi:10.1142/S0218196701000516. S2CID 15648638.
Wehrung 2007. Wehrung, Friedrich (2007). "A solution to Dilworth's congruence lattice problem". Advances in Mathematics. 216 (2): 610–625. doi:10.1016/j.aim.2007.05.016.
Růžička 2008. Růžička, Pavel (2008). "Free trees and the optimal bound in Wehrung's theorem". Fundamenta Mathematicae. 198 (3): 217–228. doi:10.4064/fm198-3-2.
Wehrung 2008. Wehrung, Friedrich (2008). "Poset representations of distributive semilattices". International Journal of Algebra and Computation. 18 (2): 321–356. doi:10.1142/S0218196708004469. S2CID 7674741.

semanticscholar.org

api.semanticscholar.org

Tůma & Wehrung 2006. Tůma, Jiří; Wehrung, Friedrich (2006). "Congruence lifting of diagrams of finite Boolean semilattices requires large congruence varieties". International Journal of Algebra and Computation. 16 (3): 541–550. arXiv:math/0410576. doi:10.1142/S0218196706003049. S2CID 735797.
Wehrung 1999. Wehrung, Friedrich (1999). "A uniform refinement property for congruence lattices" (PDF). Proceedings of the American Mathematical Society. 127 (2): 363–370. doi:10.1090/S0002-9939-99-04558-X. S2CID 85539753.
Tůma & Wehrung 2001. Tůma, Jiří; Wehrung, Friedrich (2001). "Simultaneous representations of semilattices by lattices with permutable congruences". International Journal of Algebra and Computation. 11 (2): 217–246. arXiv:math/0501417. doi:10.1142/S0218196701000516. S2CID 15648638.
Wehrung 2008. Wehrung, Friedrich (2008). "Poset representations of distributive semilattices". International Journal of Algebra and Computation. 18 (2): 321–356. doi:10.1142/S0218196708004469. S2CID 7674741.

zbmath.org

Schmidt 1968. Schmidt, E. Tamás (1968). "Zur Charakterisierung der Kongruenzverbände der Verbände". Matematický Časopis, Slovenskej Akadémie Vied. 18: 3–20. Zbl 0155.35102.