Algebra

1101 Submissions

[2] viXra:1101.0072 [pdf] submitted on 22 Jan 2011

Smarandache GT-Algebras

Authors: Jaedoek Kim, Youngmi Kim, Eun Hwan Roh
Comments: 7 pages

We introduce the notion of Smarandache GT-algebras, and the notion of Smarandache GT-Filters of the Smarandache GT-algebra related to the Tarski algebra, and related some properties are investigated.
Category: Algebra

[1] viXra:1101.0063 [pdf] submitted on 21 Jan 2011

Interval Semigroups

Authors: W. B. Vasantha Kandasamy, Florentin Smarandache
Comments: 167 pages

In this book we introduce the notion of interval semigroups using intervals of the form [0, a], a is real. Several types of interval semigroups like fuzzy interval semigroups, interval symmetric semigroups, special symmetric interval semigroups, interval matrix semigroups and interval polynomial semigroups are defined and discussed. This book has eight chapters. The main feature of this book is that we suggest 241 problems in the eighth chapter. In this book the authors have defined 29 new concepts and illustrates them with 231 examples. Certainly this will find several applications. The authors deeply acknowledge Dr. Kandasamy for the proof reading and Meena and Kama for the formatting and designing of the book.
Category: Algebra