Baer semirings and Baer ∗-semirings of cone-preserving maps

Extensions of Baer and quasi-Baer modules

BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS

A ring $R$ with an automorphism $sigma$ and a $sigma$-derivation $delta$ is called $delta$-quasi-Baer (resp., $sigma$-invariant quasi-Baer) if the right annihilator of every $delta$-ideal (resp., $sigma$-invariant ideal) of $R$ is generated by an idempotent, as a right ideal. In this paper, we study Baer and quasi-Baer properties of skew PBW extensions. More exactly, let $A=sigma(R)leftlangle x...

Some Special Classes of Semirings and Ordered Semirings

In this paper, we study the properties of Semirings satisfyingthe identity a + ab = a. It is proved that, : Let (S , +, .) be a semiring which contains multiplicative identity 1, then a + ab = a for all a, b in S if and only if (S, + ) is absorbing.

Tropical Semirings

It is a well-known fact that the boolean calculus is one of the mathematical foundations of electronic computers. This explains the important role of the boolean semiring in computer science. The aim of this paper is to present other semirings that occur in theoretical computer science. These semirings were baptized tropical semirings by Dominique Perrin in honour of the pioneering work of our ...

Baer Subplanes, Ovals and Unitals