On p-semirings
Branka Budimirović; Vjekoslav Budimirović; Branimir Šešelja
Discussiones Mathematicae - General Algebra and Applications (2002)
- Volume: 22, Issue: 2, page 107-117
- ISSN: 1509-9415
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topBranka Budimirović, Vjekoslav Budimirović, and Branimir Šešelja. "On p-semirings." Discussiones Mathematicae - General Algebra and Applications 22.2 (2002): 107-117. <http://eudml.org/doc/287679>.
@article{BrankaBudimirović2002,
abstract = {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.},
author = {Branka Budimirović, Vjekoslav Budimirović, Branimir Šešelja},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {semiring; p-semiring; p-semigroup; anti-inverse semigroup; union of rings; skew ring; skew rings; -semirings; -semigroups; anti-inverse semigroups; unions of rings},
language = {eng},
number = {2},
pages = {107-117},
title = {On p-semirings},
url = {http://eudml.org/doc/287679},
volume = {22},
year = {2002},
}
TY - JOUR
AU - Branka Budimirović
AU - Vjekoslav Budimirović
AU - Branimir Šešelja
TI - On p-semirings
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2002
VL - 22
IS - 2
SP - 107
EP - 117
AB - 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.
LA - eng
KW - semiring; p-semiring; p-semigroup; anti-inverse semigroup; union of rings; skew ring; skew rings; -semirings; -semigroups; anti-inverse semigroups; unions of rings
UR - http://eudml.org/doc/287679
ER -
References
top- [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. Zbl1016.20043
- [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. Zbl0395.20040
- [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. Zbl0934.16046
- [9] I.N. Herstein, Wedderburn's Theorem and a Theorem of Jacobson, Amer. Math. Monthly 68 (1961), 249-251. Zbl0102.02802
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