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Some results on 2-absorbing ideals in commutative semirings

Kumar P., Dubey M. K., Sarohe P.

Journal of Mathematics and Applications

2015

Vol. 38

77--84

In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero identity which is a generalization of prime ideals of a commutative semiring and prove number of results related to the same. We also use these concepts to prove some results of Q-ideals in terms of subtractive extension of ideals in a commutative semiring.

On m-ω1-pω+n - projective abelian p-groups

Danchev P.

Demonstratio Mathematica

2014

Vol. 47, nr 4

805--825

For any non-negative integers m and n, we define the classes of m-ω1-pω+n -projective groups and strongly m-ω1-pω+n -projective groups, which properly encompass the classes of ω1-pω+n -projectives introduced by Keef in J. Algebra Numb. Th. Acad. (2010) and strongly ω1-pω+n -projectives introduced by the present author in Hacettepe J. Math. Stat. (2014), respectively. The new group structures share many interesting properties, which are closely related to these of the aforementioned two own subclasses. Moreover, certain basic results in this direction are also established.

New results in the stability study of non-autonomous evolution equations in Banach spaces

Trenogin V. A., Ion A-V.

Journal of Mathematics and Applications

2010

Vol. 33

117-127

The work extends some previous results of the first author, results concerning the Lyapunov stability of the zero solution of some nonautonomous nonlinear evolution equation.

Construction of modular number systems with arbitrary finite ranges

Selyaninov M.

Scientific Issues of Jan Długosz University in Częstochowa. Mathematics

2009

Vol. 14

105-115

In the present paper, we deal with the methodology of constructing modular number systems (MNS), named also residue number systems, on arbitrary mathematical structures such as finite groups, rings and Galois fields.