Chain Conditions on Semirings
01 Jan 1996-International Journal of Mathematics and Mathematical Sciences (Hindawi)-Vol. 19, Iss: 2, pp 321-326
TL;DR: In this article, the class of semirings S for which the semiirings of square matrices Mn(S) over S are (left) k-artinian is characterized.
Abstract: In this paper we characterize the class of semirings S for which the semirings of square matrices Mn(S) over S are (left) k-artinian. Also an analogue of the Hilbert basis theorem for semirings is obtained.
Citations
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01 Jan 2016
TL;DR: The notion of linear recurrence sequence over semirings is introduced and some basics properties are investigated, followed by a characterization oflinear recurrences sequences over zero-sum semirINGS.
Abstract: Linear recurrences sequences are widely studied over fields rings and modules. In this paper, we introduce the notion of linear recurrence sequence over semirings. After investigating some basics properties, we give a characterization of linear recurrence sequence over zero-sum semirings.
10 Apr 2021
TL;DR: In this paper, the necessary and sufficient conditions for two semirings with local units to be Morita equivalent were studied and some properties which remain invariant under Morita equivalence were obtained.
Abstract: In this paper we study some necessary and sufficient conditions for two semirings with local units to be Morita equivalent. Then we obtain some properties which remain invariant under Morita equivalence.
Cites background from "Chain Conditions on Semirings"
...A subsemimodule N of a semimodule P is called an h-subsemimodule [14] of P if for y1, y2 ∈ N, x, z ∈ P, x+ y1 + z = y2 + z implies x ∈ N ....
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01 Jul 2021
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