What is the name for the type of Monera that has a peptidoglycan-based cell wall and is commonly referred to as "true bacteria"?

The type of Monera that has a peptidoglycan-based cell wall and is referred to as "true bacteria" is Eubacteria.

Eubacteria, also known as true bacteria, are a group of prokaryotic microorganisms with a peptidoglycan-based cell wall that provides rigidity and protection. They are characterized by their diverse metabolic pathways and can be found in a wide range of environments, including soil, water, and the human body. Eubacteria can have a variety of shapes, including spherical (cocci), rod-shaped (bacilli), and spiral (spirilla), and can exist as single cells or in colonies. 

Archaebacteria, on the other hand, have a different type of cell wall that lacks peptidoglycan, and they are often found in extreme environments. 

Protists and slime molds are two groups of eukaryotic organisms.