• Communications of the Korean Mathematical Society
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• v.5 no.1
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• pp.123-128
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• 1990

• Journal of the Korean Mathematical Society
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• v.23 no.2
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• pp.185-190
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• 1986

• Bulletin of the Korean Mathematical Society
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• v.32 no.2
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• pp.359-365
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• 1995

Let R be a commutative ring with identity and M and R-module.

• Korean Journal of Mathematics
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• v.30 no.3
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• pp.513-524
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• 2022

In this paper, we introduce the notion of tensor product in groups and prove its existence and uniqueness. Next, we provide the Isbell's zigzag theorem for dominions in commutative groups. We then show that in the category of commutative groups dominions are trivial. This enables us to deduce a well known result epis are surjective in the category of commutative groups.

• Journal of applied mathematics & informatics
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• v.41 no.4
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• pp.707-722
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• 2023

The purpose of this paper is to obtain the commutativity of a gamma dominion for a commutative gamma semigroup by using Isbell zigzag theorem for gamma semigroup and we prove some gamma semigroup identities are preserved under epimorphism. Moreover, we extend epimorphism, dominion and Isbell zigzag theorem for partially ordered semigroup to partially ordered gamma semigroup.