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On subrings of amalgamated free products of rings

James Renshaw (1999)

Colloquium Mathematicae

The aim of this paper is to develop the homological machinery needed to study amalgams of subrings. We follow Cohn [1] and describe an amalgam of subrings in terms of reduced iterated tensor products of the rings forming the amalgam and prove a result on embeddability of amalgamated free products. Finally we characterise the commutative perfect amalgamation bases.

On ternary semifields

Tapan K. Dutta, Sukhendu Kar (2004)

Discussiones Mathematicae - General Algebra and Applications

In this paper, we introduce the notion of ternary semi-integral domain and ternary semifield and study some of their properties.In particular we also investigate the maximal ideals of the ternary semiring Z¯₀.

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