Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2015, Cilt: 3 Sayı: 1, 1 - 12, 15.05.2015
https://doi.org/10.36753/mathenot.421193

Öz

Kaynakça

  • [1] Denecke, K., Hounnon, H., Solid Varieties of Normal ID-Semirings, General Algebra and Discrete Mathematics, Proceedings of the 59th Workshop on General Algebra, 15th Conference for Young Algebraists, Potsdam 2000, Shaker Verlag Aachen (2000), 25-40.
  • [2] Denecke, K., Hounnon, H., Solid Varieties of Semirings, Proceedings of the International Conferenc on Semigroups, Braga (Portugal) 1999, World Scientific (2000), 69-86.
  • [3] Denecke, K. and Hounnon, H., All solid varieties of semirings, Journal of Algebra 248 (2002), 107-117.
  • [4] Denecke, K., Koppitz, J., Srithus, K., N-fluid varieties, Scientiae Mathematicae Japonicae 65, No. 1 (2007), 1-19: e-2006, 1025-1034.
  • [5] Denecke, K. Koppitz, J., Srithus, K., The Degree of Proper Hypersubstitutions, Scientiae Mathematicae Japonicae Online e-2007, 301-314.
  • [6] Denecke, K., Srithus, K., Binary Relations on the Monoid of V -proper Hypersubstitutions, Discussiones Mathematicae, General Algebra and Applications 26 (2006), 233-251.
  • [7] Denecke, K., Wismath, S. L., Hyperidentities and Clones, Gordon and Breach Science Publishers (2000).
  • [8] Graczy´nska, E. On normal and regular identities and hyperidentities, Proceedings of the V Universal Algebra Symposium, Universal and Applied Algebra, Turawa, Poland, Word Scientific (1989), 107-135.
  • [9] Graczy´nska, E. and Schweigert, D. Hypervarieties of a given type, Algebra Universalis, 27 (1990), 305-31
  • [10] Hounnon, H., Hyperidentities in Semirings and Applications Shaker Verlag, Aachen (2002).
  • [11] P lonka, J., Proper and inner hypersubstitutions of varieties, Proceedings of the International Conference: Summer School on General Algebra and Ordered Sets, Palacky University Olomouc (1994), 106-115.
  • [12] R. McKenzie, G. McNulty and W.F. Taylor, Algebras, Lattices Varieties Vol 1, 1987 Inc. Belmonts Califormia.
  • [13] Srithus, R. Algebras Derived by Hypersubstitutions, PhD thesis, Potsdam University, Germany (2008).

DEGREES OF SOLID VARIETIES OF SEMIRINGS

Yıl 2015, Cilt: 3 Sayı: 1, 1 - 12, 15.05.2015
https://doi.org/10.36753/mathenot.421193

Öz

For any arbitrary variety V , the degree dp(V ) of V with respect

to proper hypersubstitutions was introduced in [6]. This degree of any variety

of bands was determined in [4]. In this paper we characterize the universe of

the free algebra of each solid variety of semirings and from this we derive the

degree dp(V ) if V is any solid variety of semirings.

Kaynakça

  • [1] Denecke, K., Hounnon, H., Solid Varieties of Normal ID-Semirings, General Algebra and Discrete Mathematics, Proceedings of the 59th Workshop on General Algebra, 15th Conference for Young Algebraists, Potsdam 2000, Shaker Verlag Aachen (2000), 25-40.
  • [2] Denecke, K., Hounnon, H., Solid Varieties of Semirings, Proceedings of the International Conferenc on Semigroups, Braga (Portugal) 1999, World Scientific (2000), 69-86.
  • [3] Denecke, K. and Hounnon, H., All solid varieties of semirings, Journal of Algebra 248 (2002), 107-117.
  • [4] Denecke, K., Koppitz, J., Srithus, K., N-fluid varieties, Scientiae Mathematicae Japonicae 65, No. 1 (2007), 1-19: e-2006, 1025-1034.
  • [5] Denecke, K. Koppitz, J., Srithus, K., The Degree of Proper Hypersubstitutions, Scientiae Mathematicae Japonicae Online e-2007, 301-314.
  • [6] Denecke, K., Srithus, K., Binary Relations on the Monoid of V -proper Hypersubstitutions, Discussiones Mathematicae, General Algebra and Applications 26 (2006), 233-251.
  • [7] Denecke, K., Wismath, S. L., Hyperidentities and Clones, Gordon and Breach Science Publishers (2000).
  • [8] Graczy´nska, E. On normal and regular identities and hyperidentities, Proceedings of the V Universal Algebra Symposium, Universal and Applied Algebra, Turawa, Poland, Word Scientific (1989), 107-135.
  • [9] Graczy´nska, E. and Schweigert, D. Hypervarieties of a given type, Algebra Universalis, 27 (1990), 305-31
  • [10] Hounnon, H., Hyperidentities in Semirings and Applications Shaker Verlag, Aachen (2002).
  • [11] P lonka, J., Proper and inner hypersubstitutions of varieties, Proceedings of the International Conference: Summer School on General Algebra and Ordered Sets, Palacky University Olomouc (1994), 106-115.
  • [12] R. McKenzie, G. McNulty and W.F. Taylor, Algebras, Lattices Varieties Vol 1, 1987 Inc. Belmonts Califormia.
  • [13] Srithus, R. Algebras Derived by Hypersubstitutions, PhD thesis, Potsdam University, Germany (2008).
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Hippolyte Hounnon

Klaus Denecke Bu kişi benim

Yayımlanma Tarihi 15 Mayıs 2015
Gönderilme Tarihi 13 Mayıs 2013
Kabul Tarihi 23 Ekim 2014
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 1

Kaynak Göster

APA Hounnon, H., & Denecke, K. (2015). DEGREES OF SOLID VARIETIES OF SEMIRINGS. Mathematical Sciences and Applications E-Notes, 3(1), 1-12. https://doi.org/10.36753/mathenot.421193
AMA Hounnon H, Denecke K. DEGREES OF SOLID VARIETIES OF SEMIRINGS. Math. Sci. Appl. E-Notes. Mayıs 2015;3(1):1-12. doi:10.36753/mathenot.421193
Chicago Hounnon, Hippolyte, ve Klaus Denecke. “DEGREES OF SOLID VARIETIES OF SEMIRINGS”. Mathematical Sciences and Applications E-Notes 3, sy. 1 (Mayıs 2015): 1-12. https://doi.org/10.36753/mathenot.421193.
EndNote Hounnon H, Denecke K (01 Mayıs 2015) DEGREES OF SOLID VARIETIES OF SEMIRINGS. Mathematical Sciences and Applications E-Notes 3 1 1–12.
IEEE H. Hounnon ve K. Denecke, “DEGREES OF SOLID VARIETIES OF SEMIRINGS”, Math. Sci. Appl. E-Notes, c. 3, sy. 1, ss. 1–12, 2015, doi: 10.36753/mathenot.421193.
ISNAD Hounnon, Hippolyte - Denecke, Klaus. “DEGREES OF SOLID VARIETIES OF SEMIRINGS”. Mathematical Sciences and Applications E-Notes 3/1 (Mayıs 2015), 1-12. https://doi.org/10.36753/mathenot.421193.
JAMA Hounnon H, Denecke K. DEGREES OF SOLID VARIETIES OF SEMIRINGS. Math. Sci. Appl. E-Notes. 2015;3:1–12.
MLA Hounnon, Hippolyte ve Klaus Denecke. “DEGREES OF SOLID VARIETIES OF SEMIRINGS”. Mathematical Sciences and Applications E-Notes, c. 3, sy. 1, 2015, ss. 1-12, doi:10.36753/mathenot.421193.
Vancouver Hounnon H, Denecke K. DEGREES OF SOLID VARIETIES OF SEMIRINGS. Math. Sci. Appl. E-Notes. 2015;3(1):1-12.

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