Г-Field

Abstract

In this paper, we introduce the notion of a Г-field as a generalization of field, study them properties of a Г -field and prove that M is a Г-field if and only if M is an integral, simple and commutative Г-ring.

Keywords

• г-field
• г-ring
• г-semiring
• г-group
• г-semigroup
• regular г-ring
• integral г-ring
• simple г-ring
• commutative г-ring
• 06f25
• 06f99