On p-semirings

• Autorzy: Branka Budimirović , Vjekoslav Budimirović , Branimir Šešelja
• Języki publikacji: EN

Abstrakty

EN

A class of semirings, so called p-semirings, characterized by a natural number p is introduced and basic properties are investigated. It is proved that every p-semiring is a union of skew rings. It is proved that for some p-semirings with non-commutative operations, this union contains rings which are commutative and possess an identity.

Słowa kluczowe

EN

semiring; p-semiring; p-semigroup; anti-inverse semigroup; union of rings; skew ring

Kategorie tematyczne

• 16Y60: Semirings
• 16S99: None of the above, but in this section

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2002
• Tom: 22
• Numer: 2
• Strony: 107-117

Daty

wydano

2002

otrzymano

2002-01-28

poprawiono

2002-10-07

Twórcy

autor

Branka Budimirović

• Higher Technological School, Narodnih Heroja 10, 15000 Šabac, Yugoslavia

autor

Vjekoslav Budimirović

• Higher Technological School, Narodnih Heroja 10, 15000 Šabac, Yugoslavia

autor

Branimir Šešelja

• Institute of Mathematics, University of Novi Sad, Trg D. Obradovića 4, 21000 Novi Sad, Yugoslavia

Bibliografia

• [1] B. Budimirović, On a class of p-semirings, M.Sc. Thesis, Faculty of Sciences, University of Novi Sad, 2001.
• [2] V. Budimirović, A Contribution to the Theory of Semirings, Ph.D. Thesis, Fac. of Sci., University of Novi Sad, Novi Sad, 2001.
• [3] V. Budimirović, On p-semigroups, Math. Moravica 4 (2000), 5-20.
• [4] V. Budimirović and B. Seselja, Operators H, S and P in the classes of p-semigroups and p-semirings, Novi Sad J. Math. 32 (2002), 127-132.
• [5] S. Bogdanović, S. Milić and V. Pavlović, Anti-inverse semigroups, Publ. Inst. Math. (Beograd) (N.S.) 24 (38) (1978), 19-28.
• [6] K. Głazek, A guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences, Kluwer Acad. Publ. Dordrecht 2002.
• [7] J.S. Golan, The theory of semirings with applications in mathematics and theoretical computer sciences, Longman Scientific & Technical, Harlow 1992.
• [8] U. Hebisch and H.J. Weinert, Semirings, Algebraic theory and applications in mathematics and computer sciences, World Scientific, Singapore 1999.
• [9] I.N. Herstein, Wedderburn's Theorem and a Theorem of Jacobson, Amer. Math. Monthly 68 (1961), 249-251.

Identyfikatory

DOI

10.7151/dmgaa.1050