# Algebra

## 1211 Submissions

[3] **viXra:1211.0044 [pdf]**
*submitted on 2012-11-08 12:33:29*

### Supermodular Lattices

**Authors:** Iqbal Unnisa, W. B. Vasantha Kandasamy, Florentin Smarandache

**Comments:** 132 Pages.

In this book the authors introduce a new class of lattices called Supermodular Lattices, which is an equational class of lattices lying between the equational class of distributive lattices and modular lattices.
Several other new properties related with these lattices are introduced, described and developed.

**Category:** Algebra

[2] **viXra:1211.0038 [pdf]**
*submitted on 2012-11-07 13:25:27*

### Set Ideal Topological Spaces

**Authors:** W. B. Vasantha Kandasamy, Florentin Smarandache

**Comments:** 114 Pages.

In this book the authors use set ideal of rings (or semigroups) to build topological spaces. These spaces are dependent on the set over which the set ideals are defined.
It is left as an open problem whether this newly constructed topological space of finite order increases the existing number of finite topological spaces.

**Category:** Algebra

[1] **viXra:1211.0029 [pdf]**
*replaced on 2012-11-27 13:25:20*

### A Rewriting System Applied to the Simplest Algebraic Identities

**Authors:** J. S. Markovitch

**Comments:** 2 Pages.

A rewriting system applied to the simplest algebraic identities is shown to yield second- and third-degree equations that share a property associated with the constant 137.036, which is a minimal case.

**Category:** Algebra