D. Davis introduced projective product spaces in 2010 as a generalization of real and discussed some their topological properties. On the other hand, Dold manifolds were by A. 1956 to study generators non-oriented cobordism ring. Recently, 2019, Nath P. Sankaran made modest manifolds. In this paper we simultaneously generalize both notions manifolds, leading infinitely many different classes ne...

In this work, regularity of $n$-generalized Schützenberger product monoids from the point Group Theory is studied. Here, it determined necessary and sufficient conditions $A_{1}\Diamond A_{2}\Diamond \cdots \Diamond A_{n}$ to be regular while all $A_{i}\text{ }\left( 1\leqslant i\leqslant n\right)$ are monoids. Also, by considering groups, given another result for product.

Experimentally observed complex networks are often scale-free, small-world and have an unexpectedly large number of small cycles. An Apollonian network is one notable example a model simultaneously having all three these properties. This constructed by deterministic procedure consequentially splitting triangle into smaller triangles. In this paper, similar construction based on the consequentia...