## Mathematical ring

### Mathematical Logic - Stanford University

Variables and Connectives Propositional logic is a formal mathematical system whose syntax is rigidly specified. Every statement in propositional logic consists of propositional variables combined via logical connectives. Each variable represents some proposition, such as “You wanted it” or “You should have put a ring on it.”

### Mathematical Model of Contractile Ring-Driven Cytokinesis in a …

Abstract In this paper, a mathematical model of contractile ring-driven cytokinesis is presented by using both phase-ﬁeld and immersed-boundary methods in a three-dimensional domain. It is one of the powerful hypotheses that cytokinesis happens driven by the contractile ring; however, there are only few mathematical models fol-

### SAVITRIBAI PHULE PUNE UNIVERSITY,PUNE

aspects of Mathematical Sciences. (iv) A student be able to apply their skills and knowledge ,that is, translate information presented verbally into mathematical form, select and use appropriate mathematical formulae or techniques in order to process the information and draw the relevant conclusion.

### Chapter 3, Rings - Department of Mathematics

The zero ring is a subring of every ring. As with subspaces of vector spaces, it is not hard to check that a subset is a subring as most axioms are inherited from the ring. Theorem 3.2. Let S be a subset of a ring R. S is a subring of R i the following conditions all hold: (1) S is closed under addition and multiplication. (2) 0R 2 S.